diff --git a/tests/cli-tests/compression/levels.sh b/tests/cli-tests/compression/levels.sh
index db3baba6d..8da3b4e74 100755
--- a/tests/cli-tests/compression/levels.sh
+++ b/tests/cli-tests/compression/levels.sh
@@ -5,12 +5,20 @@ set -v
 
 datagen > file
 
+# Retrieve the program's version information
+version_info=$(zstd -V)
+
 # Compress with various levels and ensure that their sizes are ordered
 zstd --fast=10 file -o file-f10.zst -q
 zstd --fast=1 file -o file-f1.zst -q
 zstd -1 file -o file-1.zst -q
 zstd -19 file -o file-19.zst -q
-zstd --max file -o file-max.zst -q
+if echo "$version_info" | grep -q '32-bit'; then
+    # skip --max test: not enough address space
+    cp file-19.zst file-max.zst
+else
+    zstd --max file -o file-max.zst -q
+fi
 
 zstd -t file-f10.zst file-f1.zst file-1.zst file-19.zst file-max.zst
 
diff --git a/tests/cli-tests/compression/levels.sh.stderr.exact b/tests/cli-tests/compression/levels.sh.stderr.exact
index ddec06467..dff9784dd 100644
--- a/tests/cli-tests/compression/levels.sh.stderr.exact
+++ b/tests/cli-tests/compression/levels.sh.stderr.exact
@@ -1,12 +1,20 @@
 
 datagen > file
 
+# Retrieve the program's version information
+version_info=$(zstd -V)
+
 # Compress with various levels and ensure that their sizes are ordered
 zstd --fast=10 file -o file-f10.zst -q
 zstd --fast=1 file -o file-f1.zst -q
 zstd -1 file -o file-1.zst -q
 zstd -19 file -o file-19.zst -q
-zstd --max file -o file-max.zst -q
+if echo "$version_info" | grep -q '32-bit'; then
+    # skip --max test: not enough address space
+    cp file-19.zst file-max.zst
+else
+    zstd --max file -o file-max.zst -q
+fi
 
 zstd -t file-f10.zst file-f1.zst file-1.zst file-19.zst file-max.zst
 5 files decompressed : 327685 bytes total