The Swansea City manager was speaking at the end of a week that saw Allen linked with the Premier League move with some papers claiming that the Hammers had already been in touch to sound out about a move in January.
But Rodgers says that nothing along those lines has happened and believes that Swansea are the perfect club for Joe at the moment.
“We’ve heard nothing at all from West Ham and I get on with the manager there well,” Brendan told Wales on Sunday.
“But I’ve got no worries about Joe. He will be a top talent and at this moment there is lots of growth and lots of progress.
“This is now his first run in the team and he has grabbed it with both hands and is doing well. Long may it continue.
“Swansea is perfect for him. At 20 years old he has a manager who believes in him.
“I have a lot of faith in his ability and he has demonstrated that on the field and he is one of a top band of young Welsh players who can play at the highest level.
“He is exactly the same as Scott, they need a platform to play and there is no greater place for them to play at this moment than here at Swansea City.
“He is doing very well at a club that loves him, with supporters who have really taken to him.
“He knows he has got to learn, but I see him as a player, along with the others, who can take us into the top flight.”