Morrison joined Rangers on a 93-day emergency loan after failing to secure a first-team place under Allardyce, who was critical of the player during his time at Upton Park.
The former Manchester United prospect has not played for the Hammers since January amid talk of issues off the field, and this week dropped down a division to move to Loftus Road.
But Allardyce has refused to elaborate on the reasons for farming out the England Under-21 star.
Allardyce said: "I'm not answering questions on Ravel Morrison right now because he's not with us - he is on loan at QPR.
"We have done a deal with QPR and are playing football against Southampton on Saturday.
"My focus is the squad of players I've got here and the fact of the matter is Ravel wanted to play some first-team football. He wasn't getting it as much here as he wanted, so we have let him go on loan to QPR.
"Our consistent performances with our new acquisitions like Antonio Nocerino, Marco Borriello, Roger Johnson and Pablo Armero have given us a bigger squad and Ravel found it a little bit more difficult to get in.
"So we move on to Southampton, with the players we have got at the club and the focus will be on continuing our fantastic form."
When asked if he thought he had played his last game for West Ham, Allardyce simply answered: "No!"