Everton are hopeful of ending the uncertainty over Leighton Baines's future, and with it David Moyes' interest in a reunion at Manchester United, by securing the England international on a new long-term contract.

Baines was the subject of several thwarted bids by United last summer and, though the Premier League champions have not made a renewed approach in the current transfer window, Moyes' admiration for the 29-year-old remains.

The left-back will have 12 months left on his existing Everton contract at the end of this season, when Patrice Evra is expected to leave Old Trafford as a free agent, and United will look to secure an established replacement. But, after protracted negotiations, Everton are believed to have made a breakthrough on a new contract for Baines in recent days and hope to secure the influential defender's services before he enters the final year of his current deal.

Goodison Park officials proposed a contract extension for Baines at the end of last season but that was put on hold amid persistent interest from United. Everton rejected several bids from their former manager's new employers, including the "derisory and insulting" joint £28m offer for Baines and Marouane Fellaini that valued the former at £12m.

Baines is one of several key players that Everton are looking to secure on a new contract, a list that includes Ross Barkley. The club have confirmed the England midfielder has suffered "a small fracture" of a toe on his right foot but have not put a timescale on his recovery.

The manager, Roberto Martínez, put Barkley's likely absence at three to six weeks after the win over Norwich City on Saturday and that has not altered. Everton hope warm-weather training in Tenerife – where Barkley has accompanied the first-team squad this week – will aid the 20-year-old's recovery process.

Everton's striker Nikica Jelavic, meanwhile, is expected to complete an initial £5.5m transfer to Hull City on Wednesday. The Croatia international agreed to the move and personal terms on Friday but has been unable to finalise the deal due to a work permit issue. That should be resolved on Wednesday. Martínez had said Jelavic would be allowed to leave to improve his World Cup prospects only if Everton had a replacement signed. There is interest in Kenwyne Jones, among others, but no offer has been made for the Stoke City forward.