A Premier League source said: "Looking at the money we have offered plus the money they already have in assets and commercial income, that should be more than enough to look after their needs.
"With all that in the background I would be surprised if there is an agreement to increase the offer."
Football is heading for a strike after the PFA refused to sign up to a deal which initially guaranteed more than £9m a year in donations from the Premier League and Football League.
The PFA wants £25m a year or five per cent of the £550m the Premiership earns from the sale of its TV rights over the next three seasons. That would be in line with the five per cent they say they are entitled to under the terms of the previous deal worth £8.8m.
But the Premier League say no fixed percentage is mentioned in the previous deal and have instead offered what they believe is an adequate sum for the work the players' union does.
The PFA's hand has been strengthened by support from senior players such as Chelsea stars Graeme Le Saux and Gianfranco Zola as well as David Beckham, Alan Shearer and Paolo Di Canio.
