diff --git a/java/yb-pgsql/src/test/java/org/yb/pgsql/BasePgSQLTest.java b/java/yb-pgsql/src/test/java/org/yb/pgsql/BasePgSQLTest.java
index d9f2e982bafe..1572c071c68e 100644
--- a/java/yb-pgsql/src/test/java/org/yb/pgsql/BasePgSQLTest.java
+++ b/java/yb-pgsql/src/test/java/org/yb/pgsql/BasePgSQLTest.java
@@ -143,6 +143,15 @@ public class BasePgSQLTest extends BaseMiniClusterTest {
         " connections will share the same physical connection in a single threaded test if" +
         " no active transactions are there on the first connection";
 
+  protected static final String CANNOT_GURANTEE_EXPECTED_PHYSICAL_CONN_FOR_CACHE =
+      "Test is designed in a way which requires every logical connection to have a dedicated " +
+      "physical connection. In the test backends are loaded with meta data of the object " +
+      "(tables) on executing DML with the premise (a) when withCachedMetadata is true, then " +
+      "the same backend processes the queries in a session (b) when withCachedMetadata is " +
+      "false, a new backend processes queries for a new connection (session). in both these " +
+      "cases the premise cannot be guaranteed when run with Connection Manager, hence skipping " +
+      "the tests with connection manager";
+
   protected static final String LESSER_PHYSICAL_CONNS =
       "Skipping this test with Ysql Connection Manager as logical connections " +
         "created are lesser than physical connections and the real maximum limit for creating " +
diff --git a/java/yb-pgsql/src/test/java/org/yb/pgsql/TestAlterTableWithConcurrentTxn.java b/java/yb-pgsql/src/test/java/org/yb/pgsql/TestAlterTableWithConcurrentTxn.java
index f7f1f4420935..8aae8277d121 100644
--- a/java/yb-pgsql/src/test/java/org/yb/pgsql/TestAlterTableWithConcurrentTxn.java
+++ b/java/yb-pgsql/src/test/java/org/yb/pgsql/TestAlterTableWithConcurrentTxn.java
@@ -744,6 +744,8 @@ public void testDmlTransactionBeforeAlterOnCurrentResource() throws Exception {
 
   @Test
   public void testDmlTransactionAfterAlterOnCurrentResourceWithCachedMetadata() throws Exception {
+    assumeFalse(BasePgSQLTest.CANNOT_GURANTEE_EXPECTED_PHYSICAL_CONN_FOR_CACHE,
+                isTestRunningWithConnectionManager());
     // Scenario 2. Execute any DML type after DDL.
     // a) For PG metadata cached table:
     //    Transaction should conflict since we are using
diff --git a/java/yb-pgsql/src/test/java/org/yb/pgsql/TestDropTableWithConcurrentTxn.java b/java/yb-pgsql/src/test/java/org/yb/pgsql/TestDropTableWithConcurrentTxn.java
index 6f0d75912793..669e042a4fdc 100644
--- a/java/yb-pgsql/src/test/java/org/yb/pgsql/TestDropTableWithConcurrentTxn.java
+++ b/java/yb-pgsql/src/test/java/org/yb/pgsql/TestDropTableWithConcurrentTxn.java
@@ -12,6 +12,7 @@
 //
 package org.yb.pgsql;
 
+import static org.junit.Assume.assumeFalse;
 import static org.yb.AssertionWrappers.assertEquals;
 import static org.yb.AssertionWrappers.assertTrue;
 
@@ -395,11 +396,15 @@ public void testDmlTxnDropInternal() throws Exception {
 
   @Test
   public void testDmlTxnDrop() throws Exception {
+    assumeFalse(BasePgSQLTest.CANNOT_GURANTEE_EXPECTED_PHYSICAL_CONN_FOR_CACHE,
+                isTestRunningWithConnectionManager());
     testDmlTxnDropInternal();
   }
 
   @Test
   public void testDmlTxnDropWithReadCommitted() throws Exception {
+    assumeFalse(BasePgSQLTest.CANNOT_GURANTEE_EXPECTED_PHYSICAL_CONN_FOR_CACHE,
+                isTestRunningWithConnectionManager());
     restartClusterWithFlags(Collections.emptyMap(),
                             Collections.singletonMap("yb_enable_read_committed_isolation",
                                                      "true"));