diff --git a/test/integration-test/tests/btf_relocations.rs b/test/integration-test/tests/btf_relocations.rs
index 34bc3dbe..ff25d2dd 100644
--- a/test/integration-test/tests/btf_relocations.rs
+++ b/test/integration-test/tests/btf_relocations.rs
@@ -4,6 +4,9 @@ use tempfile::TempDir;
 
 use aya::{maps::Array, programs::TracePoint, BpfLoader, Btf, Endianness};
 
+mod common;
+use common::kernel_version;
+
 // In the tests below we often use values like 0xAAAAAAAA or -0x7AAAAAAA. Those values have no
 // special meaning, they just have "nice" bit patterns that can be helpful while debugging.
 
@@ -60,6 +63,11 @@ fn relocate_enum() {
 
 #[test]
 fn relocate_enum_signed() {
+    let kernel_version = kernel_version().unwrap();
+    if kernel_version < (6, 0, 0) {
+        eprintln!("skipping test on kernel {kernel_version:?}, support for signed enum was added in 6.0.0; see https://github.com/torvalds/linux/commit/6089fb3");
+        return;
+    }
     let test = RelocationTest {
         local_definition: r#"
             enum foo { D = -0x7AAAAAAA };
@@ -80,6 +88,11 @@ fn relocate_enum_signed() {
 
 #[test]
 fn relocate_enum64() {
+    let kernel_version = kernel_version().unwrap();
+    if kernel_version < (6, 0, 0) {
+        eprintln!("skipping test on kernel {kernel_version:?}, support for enum64 was added in 6.0.0; see https://github.com/torvalds/linux/commit/6089fb3");
+        return;
+    }
     let test = RelocationTest {
         local_definition: r#"
             enum foo { D = 0xAAAAAAAABBBBBBBB };
@@ -100,6 +113,11 @@ fn relocate_enum64() {
 
 #[test]
 fn relocate_enum64_signed() {
+    let kernel_version = kernel_version().unwrap();
+    if kernel_version < (6, 0, 0) {
+        eprintln!("skipping test on kernel {kernel_version:?}, support for enum64 was added in 6.0.0; see https://github.com/torvalds/linux/commit/6089fb3");
+        return;
+    }
     let test = RelocationTest {
         local_definition: r#"
             enum foo { D = -0xAAAAAAABBBBBBBB };
diff --git a/test/integration-test/tests/load.rs b/test/integration-test/tests/load.rs
index 110025b2..f102264a 100644
--- a/test/integration-test/tests/load.rs
+++ b/test/integration-test/tests/load.rs
@@ -133,8 +133,9 @@ fn unload_kprobe() {
 
 #[test]
 fn pin_link() {
-    if kernel_version().unwrap() < (5, 9, 0) {
-        eprintln!("skipping test, XDP uses netlink");
+    let kernel_version = kernel_version().unwrap();
+    if kernel_version < (5, 9, 0) {
+        eprintln!("skipping test on kernel {kernel_version:?}, XDP uses netlink");
         return;
     }
 
@@ -168,8 +169,9 @@ fn pin_link() {
 
 #[test]
 fn pin_lifecycle() {
-    if kernel_version().unwrap() < (5, 9, 0) {
-        eprintln!("skipping test, XDP uses netlink");
+    let kernel_version = kernel_version().unwrap();
+    if kernel_version < (5, 9, 0) {
+        eprintln!("skipping test on kernel {kernel_version:?}, XDP uses netlink");
         return;
     }
 
diff --git a/test/integration-test/tests/smoke.rs b/test/integration-test/tests/smoke.rs
index daeed03a..9a34d8b8 100644
--- a/test/integration-test/tests/smoke.rs
+++ b/test/integration-test/tests/smoke.rs
@@ -18,15 +18,11 @@ fn xdp() {
 
 #[test]
 fn extension() {
-    let (major, minor, _) = kernel_version().unwrap();
-    if major < 5 || (minor == 5 && minor < 9) {
-        eprintln!(
-            "skipping as {}.{} does not meet version requirement of 5.9",
-            major, minor
-        );
+    let kernel_version = kernel_version().unwrap();
+    if kernel_version < (5, 9, 0) {
+        eprintln!("skipping test on kernel {kernel_version:?}, XDP uses netlink");
         return;
     }
-    // TODO: Check kernel version == 5.9 or later
     let main_bytes =
         include_bytes_aligned!("../../../target/bpfel-unknown-none/release/main.bpf.o");
     let mut bpf = Bpf::load(main_bytes).unwrap();