diff --git a/internal/biome/biome.go b/internal/biome/biome.go
index 2326006..3c95ac5 100644
--- a/internal/biome/biome.go
+++ b/internal/biome/biome.go
@@ -89,6 +89,7 @@ const (
 const (
 	Intel64 = "amd64"
 	Intel32 = "386"
+	ARM64   = "arm64"
 )
 
 // Dirs holds paths to special directories in a Context.
diff --git a/internal/biome/docker.go b/internal/biome/docker.go
index 675763e..0b6f0dc 100644
--- a/internal/biome/docker.go
+++ b/internal/biome/docker.go
@@ -254,10 +254,25 @@ func DockerDescriptor(ctx context.Context, client *docker.Client) (*Descriptor,
 	if info.OSType == "" || info.Architecture == "" {
 		return nil, fmt.Errorf("docker info: missing OSType and/or Architecture")
 	}
-	return &Descriptor{
-		OS:   info.OSType,
-		Arch: info.Architecture,
-	}, nil
+	desc := &Descriptor{
+		OS: info.OSType,
+		// While the Docker documentation claims that it uses runtime.GOARCH,
+		// it actually uses the syscall equivalent of `uname -m`.
+		// Source: https://github.com/moby/moby/blob/v20.10.7/pkg/platform/architecture_unix.go
+		Arch: map[string]string{
+			"x86":    Intel32,
+			"x86_64": Intel64,
+			// macOS uses arm64 and Linux uses aarch64. https://stackoverflow.com/a/47274698
+			// Not sure if we'll encounter the Docker daemon running on macOS directly,
+			// but including both variants for sake of completeness.
+			"arm64":   ARM64,
+			"aarch64": ARM64,
+		}[info.Architecture],
+	}
+	if desc.Arch == "" {
+		return nil, fmt.Errorf("docker info: unknown architecture %q", info.Architecture)
+	}
+	return desc, nil
 }
 
 // Dirs returns special directories.