diff --git a/build/utils.go b/build/utils.go
index 2cef546ca0b9..0064223fb672 100644
--- a/build/utils.go
+++ b/build/utils.go
@@ -29,6 +29,7 @@ func isArchive(header []byte) bool {
 		{0x42, 0x5A, 0x68},                   // bzip2
 		{0x1F, 0x8B, 0x08},                   // gzip
 		{0xFD, 0x37, 0x7A, 0x58, 0x5A, 0x00}, // xz
+		{0x28, 0xB5, 0x2F, 0xFD},             // zstd
 	} {
 		if len(header) < len(m) {
 			continue
diff --git a/build/utils_test.go b/build/utils_test.go
index d4a49ec47bbb..ea4b2610c045 100644
--- a/build/utils_test.go
+++ b/build/utils_test.go
@@ -1,6 +1,8 @@
 package build
 
 import (
+	"archive/tar"
+	"bytes"
 	"context"
 	"strings"
 	"testing"
@@ -257,3 +259,63 @@ func TestParseResourceLimits(t *testing.T) {
 		require.Error(t, err)
 	})
 }
+
+func TestIsArchive(t *testing.T) {
+	tarHeader := func() []byte {
+		var buf bytes.Buffer
+		tw := tar.NewWriter(&buf)
+		require.NoError(t, tw.WriteHeader(&tar.Header{Name: "Dockerfile", Mode: 0o644, Size: 13}))
+		_, err := tw.Write([]byte("FROM scratch\n"))
+		require.NoError(t, err)
+		require.NoError(t, tw.Close())
+		return buf.Bytes()
+	}
+
+	tests := []struct {
+		doc      string
+		header   []byte
+		expected bool
+	}{
+		{
+			doc:      "plain tar",
+			header:   tarHeader(),
+			expected: true,
+		},
+		{
+			doc:      "gzip",
+			header:   []byte{0x1F, 0x8B, 0x08, 0x00},
+			expected: true,
+		},
+		{
+			doc:      "bzip2",
+			header:   []byte{0x42, 0x5A, 0x68, 0x31},
+			expected: true,
+		},
+		{
+			doc:      "xz",
+			header:   []byte{0xFD, 0x37, 0x7A, 0x58, 0x5A, 0x00},
+			expected: true,
+		},
+		{
+			doc:      "zstd",
+			header:   []byte{0x28, 0xB5, 0x2F, 0xFD, 0x00},
+			expected: true,
+		},
+		{
+			doc:      "dockerfile",
+			header:   []byte("FROM scratch\n"),
+			expected: false,
+		},
+		{
+			doc:      "truncated zstd magic",
+			header:   []byte{0x28, 0xB5},
+			expected: false,
+		},
+	}
+
+	for _, tt := range tests {
+		t.Run(tt.doc, func(t *testing.T) {
+			require.Equal(t, tt.expected, isArchive(tt.header))
+		})
+	}
+}