Morrison agreed a loan move to Championship side QPR this week, having fallen out of favour at Upton Park following a promising start to the campaign that prompted talk of a possible England call-up for the midfielder.
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"It's completely unfounded," he was quoted as saying by The Guardian.
"There's no truth in the fact that I have sat with Ravel Morrison and tried to press him into signing anything with any agent, never mind mine. It's his choice and his decision, not mine - unless they ask me."
Asked if Morrison had sought his help in finding a new agent, Allardyce replied: "If he did, I wouldn't tell you anyway but no, he didn't. I haven't had a discussion with Ravel signing with [Allardyce's agent] Mark Curtis .
"The world that revolves around Ravel is quite unique in terms of the publicity he gets, but there we go."
Elaborating on the decision to let the 21-year-old - who was the subject of failed interest from Fulham in the January transfer window - to leave, Allardyce explained: "Ravel wanted to play some first-team football. He wasn't getting it as much here as he wanted so we've let him go on loan.
"The acquisitions of [Antonio] Nocerino, [Marco] Borriello and [Pablo] Armero have given us a bigger squad and Ravel has found it a little more difficult to get in."