diff --git a/easybuild/easyblocks/j/jaxlib.py b/easybuild/easyblocks/j/jaxlib.py
index 6192f236300..72d6b3b07b2 100644
--- a/easybuild/easyblocks/j/jaxlib.py
+++ b/easybuild/easyblocks/j/jaxlib.py
@@ -77,9 +77,14 @@ def configure_step(self):
 
         # Collect options for the build script
         # Used only by the build script
+        options = []
+
+        # update build command for jaxlib-0.6 to build.py build
+        if LooseVersion(self.version) >= LooseVersion('0.6.0'):
+            options.append('build')
 
         # C++ flags are set through copt below
-        options = ['--target_cpu_features=default']
+        options.append('--target_cpu_features=default')
 
         # Passed directly to bazel
         bazel_startup_options = [
@@ -125,13 +130,19 @@ def configure_step(self):
                     options.append('--noenable_nccl')
 
             config_env_vars['GCC_HOST_COMPILER_PATH'] = which(os.getenv('CC'))
-        else:
+        elif LooseVersion(self.version) <= LooseVersion('0.6.0'):
             options.append('--noenable_cuda')
 
         if self.cfg['use_mkl_dnn']:
-            options.append('--enable_mkl_dnn')
-        else:
+            # --enable_mkl_dnn option was removed in jax(lib) v0.4.36,
+            # see https://github.com/jax-ml/jax/commit/676151265859f8b0dd8baf6f6ae50c3367ed0509
+            if LooseVersion(self.version) < LooseVersion('0.4.36'):
+                options.append('--enable_mkl_dnn')
+        # if use_mkl_dnn is not enabled, use correct flag to disable use of MKL DNN
+        elif LooseVersion(self.version) < LooseVersion('0.4.36'):
             options.append('--noenable_mkl_dnn')
+        else:
+            options.append('--disable_mkl_dnn')
 
         # Prepend to buildopts so users can overwrite this
         self.cfg['buildopts'] = ' '.join(