He insists Grealish should resist any attempts by Tottenham to tempt him away from Aston Villa.
"It's important to keep Grealish on board, that's essential for their season and hopes of maintaining their Premier league status," says Allardyce.
“And I wonder now why Grealish would want to leave anyway. He's got to where he wanted to go with the club he loves so why not stay and see where the journey takes him.
“He's adored by Villa fans and he's playing on the biggest stage. If I was him I'd stick around and see what happens.
“And if Villa get their recruitment right and plus buy the right players to go with him then they could go a long way."