diff --git a/compute_endpoint/globus_compute_endpoint/engines/high_throughput/zmq_pipes.py b/compute_endpoint/globus_compute_endpoint/engines/high_throughput/zmq_pipes.py
index f41f3ecdc..3880994f1 100644
--- a/compute_endpoint/globus_compute_endpoint/engines/high_throughput/zmq_pipes.py
+++ b/compute_endpoint/globus_compute_endpoint/engines/high_throughput/zmq_pipes.py
@@ -1,5 +1,6 @@
 #!/usr/bin/env python3
 
+import ipaddress
 import logging
 import time
 
@@ -10,6 +11,41 @@
 log = logging.getLogger(__name__)
 
 
+def _zmq_canonicalize_address(addr: str | int) -> str:
+    try:
+        ip = ipaddress.ip_address(addr)
+    except ValueError:
+        # Not a valid IPv4 or IPv6 address
+        if isinstance(addr, int):
+            # If it was an integer, then it's just plain invalid
+            raise
+
+        # Otherwise, it was likely a hostname; let another layer deal with it
+        return addr
+
+    if ip.version == 4:
+        return str(ip)  # like "12.34.56.78"
+    elif ip.version == 6:
+        return f"[{ip}]"  # like "[::1]"
+
+
+def _zmq_create_socket_port(context: zmq.Context, ip_address: str | int, port_range):
+    """
+    Utility method with logic shared by all the pipes
+    """
+    sock = context.socket(zmq.DEALER)
+    sock.set_hwm(0)
+    # This option should work for both IPv4 and IPv6...?
+    # May not work until Parsl is updated?
+    sock.setsockopt(zmq.IPV6, True)
+
+    port = sock.bind_to_random_port(
+        f"tcp://{_zmq_canonicalize_address(ip_address)}",
+        min_port=port_range[0],
+        max_port=port_range[1],
+    )
+    return sock, port
+
 class CommandClient:
     """CommandClient"""
 
@@ -25,12 +61,8 @@ def __init__(self, ip_address, port_range):
 
         """
         self.context = zmq.Context()
-        self.zmq_socket = self.context.socket(zmq.DEALER)
-        self.zmq_socket.set_hwm(0)
-        self.port = self.zmq_socket.bind_to_random_port(
-            f"tcp://{ip_address}",
-            min_port=port_range[0],
-            max_port=port_range[1],
+        self.zmq_socket, self.port = _zmq_create_socket_port(
+            self.context, ip_address, port_range
         )
 
     def run(self, message):
@@ -66,12 +98,8 @@ def __init__(self, ip_address, port_range):
 
         """
         self.context = zmq.Context()
-        self.zmq_socket = self.context.socket(zmq.DEALER)
-        self.zmq_socket.set_hwm(0)
-        self.port = self.zmq_socket.bind_to_random_port(
-            f"tcp://{ip_address}",
-            min_port=port_range[0],
-            max_port=port_range[1],
+        self.zmq_socket, self.port = _zmq_create_socket_port(
+            self.context, ip_address, port_range
         )
         self.poller = zmq.Poller()
         self.poller.register(self.zmq_socket, zmq.POLLOUT)
@@ -141,12 +169,8 @@ def __init__(self, ip_address, port_range):
 
         """
         self.context = zmq.Context()
-        self.results_receiver = self.context.socket(zmq.DEALER)
-        self.results_receiver.set_hwm(0)
-        self.port = self.results_receiver.bind_to_random_port(
-            f"tcp://{ip_address}",
-            min_port=port_range[0],
-            max_port=port_range[1],
+        self.results_receiver, self.port = _zmq_create_socket_port(
+            self.context, ip_address, port_range
         )
 
     def get(self, block=True, timeout=None):