diff --git a/pymc/smc/sampling.py b/pymc/smc/sampling.py
index 03e64f94c1..950c6b8a9b 100644
--- a/pymc/smc/sampling.py
+++ b/pymc/smc/sampling.py
@@ -345,7 +345,8 @@ def _sample_smc_int(
     while smc.beta < 1:
         smc.update_beta_and_weights()
 
-        progress_dict[task_id] = {"stage": stage, "beta": smc.beta}
+        # Index by chain because task_id is None if no progressbar is present
+        progress_dict[chain] = {"stage": stage, "beta": smc.beta, "task_id": task_id}
 
         smc.resample()
         smc.tune()
@@ -378,6 +379,7 @@ def run_chains(chains, progressbar, params, random_seed, kernel_kwargs, cores):
         disable=not progressbar,
     ) as progress:
         futures = []  # keep track of the jobs
+        _log = logging.getLogger(__name__)
         with multiprocessing.Manager() as manager:
             # this is the key - we share some state between our
             # main process and our worker functions
@@ -391,6 +393,8 @@ def run_chains(chains, progressbar, params, random_seed, kernel_kwargs, cores):
                 for c in range(chains):  # iterate over the jobs we need to run
                     # set visible false so we don't have a lot of bars all at once:
                     task_id = progress.add_task(f"Chain {c}", status="Stage: 0 Beta: 0")
+                    if not progressbar:
+                        _log.info(f"Queueing Chain {c} Stage: 0 Beta: 0")
                     futures.append(
                         executor.submit(
                             _sample_smc_int,
@@ -406,17 +410,26 @@ def run_chains(chains, progressbar, params, random_seed, kernel_kwargs, cores):
                 # monitor the progress:
                 done = []
                 remaining = futures
+                previous = {c: {} for c in range(chains)}
                 while len(remaining) > 0:
                     finished, remaining = wait(remaining, timeout=0.1)
                     done.extend(finished)
-                    for task_id, update_data in _progress.items():
+                    for chain, update_data in _progress.items():
                         stage = update_data["stage"]
                         beta = update_data["beta"]
+                        task_id = update_data["task_id"]
+
                         # update the progress bar for this task:
                         progress.update(
                             status=f"Stage: {stage} Beta: {beta:.3f}",
                             task_id=task_id,
                             refresh=True,
                         )
+                        # use the logger if there is no progress bar and data has changed:
+                        if not progressbar:
+                            # only log if the stage has changed
+                            if previous[chain].get("stage", -1) != stage:
+                                _log.info(f"Chain: {chain} Stage: {stage} Beta: {beta:.3f}")
+                                previous[chain] = {"stage": stage, "beta": beta}
 
         return tuple(cloudpickle.loads(r.result()) for r in done)