diff --git a/README.md b/README.md
index db79d63b5..ae49ba65d 100644
--- a/README.md
+++ b/README.md
@@ -151,7 +151,7 @@ asyncio.run(run())
 $ python3 examples/hlapi/asyncio/manager/cmdgen/usm-sha-aes128.py
 SNMPv2-MIB::sysDescr.0 = SunOS zeus.pysnmp.com 4.1.3_U1 1 sun4m
 $
-$ python3 examples//hlapi/asyncore/sync/agent/ntforg/v3-inform.py
+$ python3 examples/hlapi/asyncio/agent/ntforg/v3-inform.py
 SNMPv2-MIB::sysUpTime.0 = 0
 SNMPv2-MIB::snmpTrapOID.0 = SNMPv2-MIB::warmStart
 SNMPv2-MIB::sysName.0 = system name
diff --git a/pysnmp/entity/config.py b/pysnmp/entity/config.py
index 0468f5759..16828d102 100644
--- a/pysnmp/entity/config.py
+++ b/pysnmp/entity/config.py
@@ -5,7 +5,7 @@
 # License: https://www.pysnmp.com/pysnmp/license.html
 #
 from pyasn1.compat.octets import null
-from pysnmp.carrier.asyncore.dgram import udp, udp6, unix
+from pysnmp.carrier.asyncio.dgram import udp, udp6, unix
 from pysnmp.proto.secmod.rfc3414.auth import hmacmd5, hmacsha, noauth
 from pysnmp.proto.secmod.rfc3414.priv import des, nopriv
 from pysnmp.proto.secmod.rfc3826.priv import aes
diff --git a/pysnmp/entity/rfc3413/oneliner/cmdgen.py b/pysnmp/entity/rfc3413/oneliner/cmdgen.py
index 5dc0ff9e9..b3283e9ae 100644
--- a/pysnmp/entity/rfc3413/oneliner/cmdgen.py
+++ b/pysnmp/entity/rfc3413/oneliner/cmdgen.py
@@ -7,8 +7,8 @@
 # All code in this file belongs to obsolete, compatibility wrappers.
 # Never use interfaces below for new applications!
 #
-from pysnmp.hlapi.asyncore import *
-from pysnmp.hlapi.asyncore import sync
+from pysnmp.hlapi.asyncio import *
+from pysnmp.hlapi.asyncio import sync
 from pysnmp.hlapi.varbinds import *
 from pysnmp.hlapi.lcd import *
 from pyasn1.compat.octets import null
diff --git a/pysnmp/entity/rfc3413/oneliner/ntforg.py b/pysnmp/entity/rfc3413/oneliner/ntforg.py
index be7db1b1b..8d5dcffae 100644
--- a/pysnmp/entity/rfc3413/oneliner/ntforg.py
+++ b/pysnmp/entity/rfc3413/oneliner/ntforg.py
@@ -7,8 +7,8 @@
 # All code in this file belongs to obsolete, compatibility wrappers.
 # Never use interfaces below for new applications!
 #
-from pysnmp.hlapi.asyncore import *
-from pysnmp.hlapi.asyncore import sync
+from pysnmp.hlapi.asyncio import *
+from pysnmp.hlapi.asyncio import sync
 from pysnmp.hlapi.varbinds import *
 from pysnmp.hlapi.lcd import *
 from pyasn1.compat.octets import null
diff --git a/pysnmp/hlapi/__init__.py b/pysnmp/hlapi/__init__.py
index 343b8ac13..9231dca1b 100644
--- a/pysnmp/hlapi/__init__.py
+++ b/pysnmp/hlapi/__init__.py
@@ -11,8 +11,8 @@
 from pysnmp.hlapi.context import *
 from pysnmp.entity.engine import *
 
-# default is synchronous asyncore-based API
-from pysnmp.hlapi.asyncore.sync import *
+# default is synchronous asyncio-based API
+from pysnmp.hlapi.asyncio import *
 
 
 CommunityData = auth.CommunityData
diff --git a/pysnmp/hlapi/asyncore/__init__.py b/pysnmp/hlapi/asyncore/__init__.py
index 02223f7a9..615069cb7 100644
--- a/pysnmp/hlapi/asyncore/__init__.py
+++ b/pysnmp/hlapi/asyncore/__init__.py
@@ -8,7 +8,7 @@
 from pysnmp.smi.rfc1902 import *
 from pysnmp.hlapi.auth import *
 from pysnmp.hlapi.context import *
-from pysnmp.hlapi.asyncore.transport import *
-from pysnmp.hlapi.asyncore.cmdgen import *
-from pysnmp.hlapi.asyncore.ntforg import *
+from pysnmp.hlapi.asyncio.transport import *
+from pysnmp.hlapi.asyncio.cmdgen import *
+from pysnmp.hlapi.asyncio.ntforg import *
 from pysnmp.entity.engine import *
diff --git a/pysnmp/hlapi/auth.py b/pysnmp/hlapi/auth.py
index a0ce8188f..ac01c6631 100644
--- a/pysnmp/hlapi/auth.py
+++ b/pysnmp/hlapi/auth.py
@@ -23,8 +23,8 @@ class CommunityData:
     """Creates SNMP v1/v2c configuration entry.
 
     This object can be used by
-    :py:class:`~pysnmp.hlapi.asyncore.AsyncCommandGenerator` or
-    :py:class:`~pysnmp.hlapi.asyncore.AsyncNotificationOriginator`
+    :py:class:`~pysnmp.hlapi.asyncio.AsyncCommandGenerator` or
+    :py:class:`~pysnmp.hlapi.asyncio.AsyncNotificationOriginator`
     and their derivatives for adding new entries to Local Configuration
     Datastore (LCD) managed by :py:class:`~pysnmp.hlapi.SnmpEngine`
     class instance.
@@ -219,8 +219,8 @@ class UsmUserData:
     """Creates SNMP v3 User Security Model (USM) configuration entry.
 
     This object can be used by
-    :py:class:`~pysnmp.hlapi.asyncore.AsyncCommandGenerator` or
-    :py:class:`~pysnmp.hlapi.asyncore.AsyncNotificationOriginator`
+    :py:class:`~pysnmp.hlapi.asyncio.AsyncCommandGenerator` or
+    :py:class:`~pysnmp.hlapi.asyncio.AsyncNotificationOriginator`
     and their derivatives for adding new entries to Local Configuration
     Datastore (LCD) managed by :py:class:`~pysnmp.hlapi.SnmpEngine`
     class instance.
diff --git a/pysnmp/hlapi/context.py b/pysnmp/hlapi/context.py
index 615e28520..356773e58 100644
--- a/pysnmp/hlapi/context.py
+++ b/pysnmp/hlapi/context.py
@@ -13,8 +13,8 @@ class ContextData:
     """Creates UDP/IPv6 configuration entry and initialize socket API if needed.
 
     This object can be used by
-    :py:class:`~pysnmp.hlapi.asyncore.AsyncCommandGenerator` or
-    :py:class:`~pysnmp.hlapi.asyncore.AsyncNotificationOriginator`
+    :py:class:`~pysnmp.hlapi.asyncio.AsyncCommandGenerator` or
+    :py:class:`~pysnmp.hlapi.asyncio.AsyncNotificationOriginator`
     and their derevatives for forming SNMP PDU and also adding new entries to
     Local Configuration Datastore (LCD) in order to support SNMPv1/v2c with
     SNMPv3 interoperability.
diff --git a/pysnmp/proto/secmod/rfc2576.py b/pysnmp/proto/secmod/rfc2576.py
index a6297a13f..84ff44fc1 100644
--- a/pysnmp/proto/secmod/rfc2576.py
+++ b/pysnmp/proto/secmod/rfc2576.py
@@ -8,7 +8,7 @@
 from pyasn1.codec.ber import encoder
 from pyasn1.error import PyAsn1Error
 from pysnmp.proto.secmod import base
-from pysnmp.carrier.asyncore.dgram import udp, udp6, unix
+from pysnmp.carrier.asyncio.dgram import udp, udp6, unix
 from pysnmp.smi.error import NoSuchInstanceError
 from pysnmp.proto import errind, error
 from pysnmp import debug
diff --git a/runtests.sh b/runtests.sh
index 0fe737cf8..f140ffb71 100755
--- a/runtests.sh
+++ b/runtests.sh
@@ -6,10 +6,10 @@ PYTHON=${1:-python}
 
 for x in examples/hlapi/asyncio/manager/cmdgen/*.py \
          examples/hlapi/asyncio/agent/ntforg/*.py \
-         examples/v3arch/asyncore/manager/cmdgen/*.py \
-         examples/v3arch/asyncore/agent/ntforg/*.py \
-         examples/v1arch/asyncore/manager/cmdgen/*.py \
-         examples/v1arch/asyncore/agent/ntforg/*.py \
+         examples/v3arch/asyncio/manager/cmdgen/*.py \
+         examples/v3arch/asyncio/agent/ntforg/*.py \
+         examples/v1arch/asyncio/manager/cmdgen/*.py \
+         examples/v1arch/asyncio/agent/ntforg/*.py \
          examples/smi/manager/*py \
          examples/smi/agent/*.py
 do