diff --git a/server/text_generation_server/models/flash_causal_lm.py b/server/text_generation_server/models/flash_causal_lm.py
index f268e499584..272385b59f5 100644
--- a/server/text_generation_server/models/flash_causal_lm.py
+++ b/server/text_generation_server/models/flash_causal_lm.py
@@ -102,6 +102,39 @@ def get_sliding_windows() -> int:
 
 
 def init_cpu_threads_env(rank_id: int, world_size: int):
+    import psutil
+    allowed_cpus = psutil.Process().cpu_affinity()
+    if len(allowed_cpus) < psutil.cpu_count(logical=True):
+        _init_cpu_threads_env_use_allowed(rank_id, world_size, allowed_cpus)
+    else:
+        _init_cpu_threads_env_use_all(rank_id, world_size)
+
+def _init_cpu_threads_env_use_allowed(rank_id: int, world_size: int, allowed_cpus: list):
+    import importlib.util
+
+    if os.getenv("OMP_NUM_THREADS") is None:
+        num_cpus_per_rank = max(int(len(allowed_cpus) / world_size), 1)
+    else:
+        num_cpus_per_rank = min(int(os.getenv("OMP_NUM_THREADS")), len(allowed_cpus))
+
+    if importlib.util.find_spec("numa") is not None:
+        import numa
+
+        slice_info = f"slice {rank_id+1}/{world_size} of externally allowed {len(allowed_cpus)} CPUs"
+        allowed_mems = numa.memory.get_membind_nodes()
+        cpu_start = num_cpus_per_rank * rank_id
+        allowed_cpus_for_rank = allowed_cpus[cpu_start : cpu_start + num_cpus_per_rank]
+        numa.schedule.run_on_cpus(0, *allowed_cpus_for_rank)
+        effective_allowed_cpus = numa.schedule.get_affinitive_cpus(0)
+    else:
+        slice_info = "externally allowed, cannot import numa for slicing"
+        allowed_mems = "n/a"
+        effective_allowed_cpus = allowed_cpus
+    num_threads = num_cpus_per_rank
+    torch.set_num_threads(num_threads)
+    logger.info(f"affinity={effective_allowed_cpus} ({slice_info}), membind={allowed_mems}, threads={num_threads}")
+
+def _init_cpu_threads_env_use_all(rank_id: int, world_size: int):
     import importlib.util
 
     if importlib.util.find_spec("numa") is not None: