diff --git a/CHANGES b/CHANGES
index ef1eca035c..8fcdbc995c 100644
--- a/CHANGES
+++ b/CHANGES
@@ -1,3 +1,9 @@
+5773.	[func]		Change the message when accepting TCP connection has
+			failed to say "Accepting TCP connection failed" and
+			change the log level for ISC_R_NOTCONNECTED, ISC_R_QUOTA
+			and ISC_R_SOFTQUOTA results codes from ERROR to INFO.
+			[GL #2700]
+
 5772.	[bug]		The resolver could hang on shutdown due to dispatch
 			resources not being cleaned up when a TCP connection
 			was reset. [GL #3026]
diff --git a/doc/notes/notes-current.rst b/doc/notes/notes-current.rst
index 01c49f9508..e539c51c9b 100644
--- a/doc/notes/notes-current.rst
+++ b/doc/notes/notes-current.rst
@@ -49,6 +49,15 @@ Feature Changes
   or wildcard (``*``) characters.  This reverts change :gl:`!5738` from the
   previous release.  :gl:`#1610`
 
+- Previously, when an incoming TCP connection could not be accepted because the client
+  closed the connection early, an error message of ``TCP connection
+  failed: socket is not connected`` was logged. This message has been changed
+  to ``Accepting TCP connection failed: socket is not connected``. The
+  severity level at which this type of message is logged has also
+  been changed from ``error`` to ``info`` for the following triggering
+  events: ``socket is not connected``, ``quota reached``, and ``soft
+  quota reached``. :gl:`#2700`
+
 Bug Fixes
 ~~~~~~~~~
 
diff --git a/lib/isc/netmgr/netmgr-int.h b/lib/isc/netmgr/netmgr-int.h
index da892b8415..db5c247118 100644
--- a/lib/isc/netmgr/netmgr-int.h
+++ b/lib/isc/netmgr/netmgr-int.h
@@ -2034,4 +2034,7 @@ isc__nm_failed_read_cb(isc_nmsocket_t *sock, isc_result_t result, bool async);
 void
 isc__nmsocket_connecttimeout_cb(uv_timer_t *timer);
 
+void
+isc__nm_accept_connection_log(isc_result_t result, bool can_log_quota);
+
 #define STREAM_CLIENTS_PER_CONN 23
diff --git a/lib/isc/netmgr/netmgr.c b/lib/isc/netmgr/netmgr.c
index 3404d19ba0..13168683e1 100644
--- a/lib/isc/netmgr/netmgr.c
+++ b/lib/isc/netmgr/netmgr.c
@@ -2048,6 +2048,33 @@ isc__nmsocket_connecttimeout_cb(uv_timer_t *timer) {
 	}
 }
 
+void
+isc__nm_accept_connection_log(isc_result_t result, bool can_log_quota) {
+	int level;
+
+	switch (result) {
+	case ISC_R_SUCCESS:
+	case ISC_R_NOCONN:
+		return;
+	case ISC_R_QUOTA:
+	case ISC_R_SOFTQUOTA:
+		if (!can_log_quota) {
+			return;
+		}
+		level = ISC_LOG_INFO;
+		break;
+	case ISC_R_NOTCONNECTED:
+		level = ISC_LOG_INFO;
+		break;
+	default:
+		level = ISC_LOG_ERROR;
+	}
+
+	isc_log_write(isc_lctx, ISC_LOGCATEGORY_GENERAL, ISC_LOGMODULE_NETMGR,
+		      level, "Accepting TCP connection failed: %s",
+		      isc_result_totext(result));
+}
+
 static void
 isc__nmsocket_readtimeout_cb(uv_timer_t *timer) {
 	isc_nmsocket_t *sock = uv_handle_get_data((uv_handle_t *)timer);
diff --git a/lib/isc/netmgr/tcp.c b/lib/isc/netmgr/tcp.c
index 382018944e..eb6437d8d4 100644
--- a/lib/isc/netmgr/tcp.c
+++ b/lib/isc/netmgr/tcp.c
@@ -631,15 +631,7 @@ tcp_connection_cb(uv_stream_t *server, int status) {
 
 	result = accept_connection(ssock, quota);
 done:
-	if (result != ISC_R_SUCCESS && result != ISC_R_NOCONN) {
-		if ((result != ISC_R_QUOTA && result != ISC_R_SOFTQUOTA) ||
-		    can_log_tcp_quota()) {
-			isc_log_write(isc_lctx, ISC_LOGCATEGORY_GENERAL,
-				      ISC_LOGMODULE_NETMGR, ISC_LOG_ERROR,
-				      "TCP connection failed: %s",
-				      isc_result_totext(result));
-		}
-	}
+	isc__nm_accept_connection_log(result, can_log_tcp_quota());
 }
 
 void
@@ -931,15 +923,7 @@ isc__nm_async_tcpaccept(isc__networker_t *worker, isc__netievent_t *ev0) {
 	REQUIRE(sock->tid == isc_nm_tid());
 
 	result = accept_connection(sock, ievent->quota);
-	if (result != ISC_R_SUCCESS && result != ISC_R_NOCONN) {
-		if ((result != ISC_R_QUOTA && result != ISC_R_SOFTQUOTA) ||
-		    can_log_tcp_quota()) {
-			isc_log_write(isc_lctx, ISC_LOGCATEGORY_GENERAL,
-				      ISC_LOGMODULE_NETMGR, ISC_LOG_ERROR,
-				      "TCP connection failed: %s",
-				      isc_result_totext(result));
-		}
-	}
+	isc__nm_accept_connection_log(result, can_log_tcp_quota());
 }
 
 static isc_result_t
diff --git a/lib/isc/netmgr/tcpdns.c b/lib/isc/netmgr/tcpdns.c
index 5fed46018f..9167e52bb5 100644
--- a/lib/isc/netmgr/tcpdns.c
+++ b/lib/isc/netmgr/tcpdns.c
@@ -600,16 +600,7 @@ tcpdns_connection_cb(uv_stream_t *server, int status) {
 
 	result = accept_connection(ssock, quota);
 done:
-	if (result != ISC_R_SUCCESS && result != ISC_R_NOCONN) {
-		if ((result != ISC_R_QUOTA && result != ISC_R_SOFTQUOTA) ||
-		    can_log_tcpdns_quota())
-		{
-			isc_log_write(isc_lctx, ISC_LOGCATEGORY_GENERAL,
-				      ISC_LOGMODULE_NETMGR, ISC_LOG_ERROR,
-				      "TCP connection failed: %s",
-				      isc_result_totext(result));
-		}
-	}
+	isc__nm_accept_connection_log(result, can_log_tcpdns_quota());
 }
 
 void
@@ -920,16 +911,7 @@ isc__nm_async_tcpdnsaccept(isc__networker_t *worker, isc__netievent_t *ev0) {
 	REQUIRE(ievent->sock->tid == isc_nm_tid());
 
 	result = accept_connection(ievent->sock, ievent->quota);
-	if (result != ISC_R_SUCCESS && result != ISC_R_NOCONN) {
-		if ((result != ISC_R_QUOTA && result != ISC_R_SOFTQUOTA) ||
-		    can_log_tcpdns_quota())
-		{
-			isc_log_write(isc_lctx, ISC_LOGCATEGORY_GENERAL,
-				      ISC_LOGMODULE_NETMGR, ISC_LOG_ERROR,
-				      "TCP connection failed: %s",
-				      isc_result_totext(result));
-		}
-	}
+	isc__nm_accept_connection_log(result, can_log_tcpdns_quota());
 }
 
 static isc_result_t
diff --git a/lib/isc/netmgr/tlsdns.c b/lib/isc/netmgr/tlsdns.c
index 700874d28e..137a1709cd 100644
--- a/lib/isc/netmgr/tlsdns.c
+++ b/lib/isc/netmgr/tlsdns.c
@@ -675,16 +675,7 @@ tlsdns_connection_cb(uv_stream_t *server, int status) {
 
 	result = accept_connection(ssock, quota);
 done:
-	if (result != ISC_R_SUCCESS && result != ISC_R_NOCONN) {
-		if ((result != ISC_R_QUOTA && result != ISC_R_SOFTQUOTA) ||
-		    can_log_tlsdns_quota())
-		{
-			isc_log_write(isc_lctx, ISC_LOGCATEGORY_GENERAL,
-				      ISC_LOGMODULE_NETMGR, ISC_LOG_ERROR,
-				      "TCP connection failed: %s",
-				      isc_result_totext(result));
-		}
-	}
+	isc__nm_accept_connection_log(result, can_log_tlsdns_quota());
 }
 
 void
@@ -1425,16 +1416,7 @@ isc__nm_async_tlsdnsaccept(isc__networker_t *worker, isc__netievent_t *ev0) {
 	REQUIRE(ievent->sock->tid == isc_nm_tid());
 
 	result = accept_connection(ievent->sock, ievent->quota);
-	if (result != ISC_R_SUCCESS && result != ISC_R_NOCONN) {
-		if ((result != ISC_R_QUOTA && result != ISC_R_SOFTQUOTA) ||
-		    can_log_tlsdns_quota())
-		{
-			isc_log_write(isc_lctx, ISC_LOGCATEGORY_GENERAL,
-				      ISC_LOGMODULE_NETMGR, ISC_LOG_ERROR,
-				      "TCP connection failed: %s",
-				      isc_result_totext(result));
-		}
-	}
+	isc__nm_accept_connection_log(result, can_log_tlsdns_quota());
 }
 
 static isc_result_t