There is new version of LiteSpeed and LiteSpeed PHP LSAPI. So you went ahead to upgrade LiteSpeed in LiteSpeed admin Panel or LiteSpeed plugins page in WHM. The process is rather fast but you may see that LiteSpeed PHP LSAPI my not upgraded to the latest version.
To solve this problem you need to rebuild PHP with LSAPI.
To do this login to WHM and follow the path below.
WHM → LiteSpeed Web Server → Build Matching PHP Binary → Tick Confirmation Check box → Click Next
The process may take a few minutes. By the time it is done, you should have the latest version of LiteSpeed PHP LSAPI.