It has been reported that midfielder Morrison wanted to leave the Premier League club, having felt pressured by Allardyce to become a client of his agent Mark Curtis - who also represents a number of players at Upton Park.
Morrison is currently on loan with Championship promotion hopefuls QPR.
But Allardyce strenuously denies claims that he attempted to persuade the 21-year-old to switch agents.
The Hammers boss said: "It's completely unfounded. I think the rumours or allegations will be made probably by Ravel's representatives.
"But there is no truth in the fact I have sat with Ravel Morrison and tried to press him into signing with any agent, never mind mine.
"It's his choice, his decision, not mine. I haven't had a discussion on Ravel signing with Mark Curtis, no.
"I think the world that revolves around Ravel is quite unique in terms of the publicity he gets, but there we go."
As for his loan deal at Loftus Road, Allardyce added: "The fact of the matter is that 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.
"Our consistent performances and recent acquisitions have given us a bigger squad and Ravel has found it a little more difficult to get in."