The Poland goalkeeper has a year left on his contract at Fiorentina and lost his place in the team in the recently concluded season.
He made just nine appearances for Fiorentina and the club are prepared to sell him in the upcoming transfer window.
A move to England has been mooted and Southampton and Bournemouth are believed to be interested in signing him.
But it has been claimed that a deal is not close for either club to sign the Poland goalkeeper in the summer.
He is on their radar and the clubs are considering making a move for Dragowski in the upcoming transfer window.
However, nothing concrete has happened and there is still no clarity over whether either of the clubs will agree on a deal.
Southampton are looking to bring in a new number 2 with Fraser Forster set to move on this summer.
Bournemouth want depth in their goalkeeping department ahead of their return to the Premier League next season.
