The 22-year-old has been exceptional for the Championship side this season.
Everton manager Roberto Martinez addressed the media ahead of their clash with Swansea City in the Premier League this weekend.
Bristol City are reportedly keen to take Scott Golbourne from Wolverhampton Wanderers.
Rotherham are interested in Nottingham Forest winger Burke.
Sunderland, Crystal Palace and West Ham all want to sign Khouma Babacar.
The 21-year-old has left Tottenham for League One side Peterborough.
The Swans look to have been priced out in their pursuit of the Italian international.
Wayne Hennessey has made two high profile errors for Crystal Palace in their recent matches.
QPR are hoping to sign free agent Marco Motta this month.
Tottenham are looking to sign a striker as back-up for Harry Kane.
Southampton look resigned to losing Nathaniel Clyne this summer, and they should move for Rafael to replace him.
Manchester United travel to Chelsea on a six-match winning streak in the Premier League, but Jose Mourinho will have a plan to stifle their threats.
Leonardo Pavoletti scored his first goal for Genoa since signing on loan in January.