diff --git a/Sources/ContainerizationEXT4/EXT4+Formatter.swift b/Sources/ContainerizationEXT4/EXT4+Formatter.swift
index 708b9e1b0..4f461441e 100644
--- a/Sources/ContainerizationEXT4/EXT4+Formatter.swift
+++ b/Sources/ContainerizationEXT4/EXT4+Formatter.swift
@@ -1023,11 +1023,14 @@ extension EXT4 {
             }
             let tableSize: UInt64 = UInt64(EXT4.InodeSize) * blockGroups * inodesPerGroup
             let rest = tableSize - UInt64(self.inodes.count) * EXT4.InodeSize
-            let zeroBlock = Array<UInt8>.init(repeating: 0, count: Int(self.blockSize))
-            for _ in 0..<(rest / self.blockSize) {
-                try self.handle.write(contentsOf: zeroBlock)
-            }
-            try self.handle.write(contentsOf: Array<UInt8>.init(repeating: 0, count: Int(rest % self.blockSize)))
+            // The inodes past the ones written are free, and the table reads as
+            // zero for the whole span they cover. A hole reads as zero as well,
+            // so the span is skipped rather than written: the bytes a reader
+            // sees are the same, and the blocks a filesystem holding the image
+            // gives up to them are not. The bitmaps of the groups past the ones
+            // holding content are placed by the same seek, and what follows here
+            // writes at a higher offset, so the file still reaches its length.
+            try self.handle.seek(toOffset: self.pos + rest)
             return inodeTableOffset
         }
 
diff --git a/Sources/ContainerizationEXT4/EXT4+Journal.swift b/Sources/ContainerizationEXT4/EXT4+Journal.swift
index 5e3511f6a..aa235972a 100644
--- a/Sources/ContainerizationEXT4/EXT4+Journal.swift
+++ b/Sources/ContainerizationEXT4/EXT4+Journal.swift
@@ -126,17 +126,22 @@ extension EXT4.Formatter {
 
     private func zeroJournalBlocks(count: UInt32) throws {
         guard count > 0 else { return }
-        let chunkSize = 1.mib()
         // Safe: both operands are UInt32, so their product peaks at ~17 TiB, which fits
         // in Int64 (the width of Int on all 64-bit Apple platforms).
-        let totalBytes = Int(count) * Int(self.blockSize)
-        let zeroBuf = [UInt8](repeating: 0, count: min(Int(chunkSize), totalBytes))
-        var remaining = totalBytes
-        while remaining > 0 {
-            let toWrite = min(zeroBuf.count, remaining)
-            try self.handle.write(contentsOf: zeroBuf[0..<toWrite])
-            remaining -= toWrite
-        }
+        let totalBytes = UInt64(count) * UInt64(self.blockSize)
+        // A journal block holding no transaction reads as zero, and so does a
+        // hole, so the span is sought over rather than written. An image
+        // formatted at the capacity a container's filesystem is given takes a
+        // gigabyte of journal, and writing it spent a gigabyte of the host's
+        // disk on every image unpacked before it held anything.
+        //
+        // The last block is written rather than sought over, so a journal that
+        // does not fit in the image still fails here at the I/O layer, which is
+        // what writing the whole span gave and what the journal inode's extent
+        // is written on the strength of.
+        let end = self.pos + totalBytes
+        try self.handle.seek(toOffset: end - UInt64(self.blockSize))
+        try self.handle.write(contentsOf: [UInt8](repeating: 0, count: Int(self.blockSize)))
     }
 
     private func setupJournalInode(startBlock: UInt32, blockCount: UInt32) throws {
diff --git a/Tests/ContainerizationEXT4Tests/TestEXT4Sparse.swift b/Tests/ContainerizationEXT4Tests/TestEXT4Sparse.swift
new file mode 100644
index 000000000..68b046de7
--- /dev/null
+++ b/Tests/ContainerizationEXT4Tests/TestEXT4Sparse.swift
@@ -0,0 +1,85 @@
+//===----------------------------------------------------------------------===//
+// Copyright © 2026 Apple Inc. and the Containerization project authors.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//   https://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+//===----------------------------------------------------------------------===//
+
+import Foundation
+import SystemPackage
+import Testing
+
+@testable import ContainerizationEXT4
+
+/// A formatted image holds its structures where a reader expects them and
+/// nothing anywhere else. What an empty filesystem costs the host it is stored
+/// on is the sum of the structures actually written, not of the capacity the
+/// filesystem was given: the journal and the free half of the inode table read
+/// as zero over spans measured in gigabytes at container capacities, and a
+/// filesystem holding those as holes reads the same as one holding them as
+/// written zeros.
+struct Ext4SparseTests {
+    /// The blocks a file occupies, which is what the filesystem holding it
+    /// gives up, as opposed to the length the file reports.
+    private func allocatedBytes(of path: FilePath) throws -> UInt64 {
+        var st = stat()
+        guard stat(path.string, &st) == 0 else {
+            throw EXT4.Formatter.Error.notFound(path)
+        }
+        return UInt64(st.st_blocks) * 512
+    }
+
+    private func format(capacity: UInt64, journal: EXT4.JournalConfig?) throws -> (path: FilePath, allocated: UInt64, length: UInt64) {
+        let path = FilePath(
+            FileManager.default.uniqueTemporaryDirectory()
+                .appendingPathComponent("ext4.img.delme.sparse", isDirectory: false))
+        let formatter = try EXT4.Formatter(path, minDiskSize: capacity, journal: journal)
+        try formatter.create(path: FilePath("/test"), mode: EXT4.Inode.Mode(.S_IFDIR, 0o755))
+        try formatter.close()
+        let handle = try FileHandle(forReadingFrom: path.url)
+        let length = try handle.seekToEnd()
+        try handle.close()
+        return (path, try allocatedBytes(of: path), length)
+    }
+
+    /// An image formatted at the capacity a container's filesystem is given
+    /// reports that capacity and occupies a small fraction of it. The bound is
+    /// far above what the structures of an empty filesystem come to and far
+    /// below the gigabyte a written-out journal alone would add, so it holds
+    /// whatever the layout does and fails if a span goes back to being written.
+    @Test func emptyImageAtContainerCapacityOccupiesLittle() throws {
+        let capacity: UInt64 = 512.gib()
+        let result = try format(capacity: capacity, journal: .init(defaultMode: .ordered))
+        defer { try? FileManager.default.removeItem(at: result.path.url) }
+
+        #expect(result.length >= capacity)
+        #expect(
+            result.allocated < 256.mib(),
+            "an empty image of \(capacity) bytes occupies \(result.allocated) bytes"
+        )
+    }
+
+    /// The journal is the largest of those spans, so an image given one and an
+    /// image given none occupy nearly the same.
+    @Test func theJournalCostsLittleUntilItHoldsSomething() throws {
+        let capacity: UInt64 = 512.gib()
+        let journaled = try format(capacity: capacity, journal: .init(defaultMode: .ordered))
+        defer { try? FileManager.default.removeItem(at: journaled.path.url) }
+        let plain = try format(capacity: capacity, journal: nil)
+        defer { try? FileManager.default.removeItem(at: plain.path.url) }
+
+        #expect(
+            journaled.allocated < plain.allocated + 64.mib(),
+            "journaled image occupies \(journaled.allocated) against \(plain.allocated) without one"
+        )
+    }
+}