Jurgen Klopp's side will take on the defending champions on 18 May.
The German press have claimed Louis van Gaal's side are interested.
Fletcher has scored seven times since joining the Tykes on loan.
Dyke claims that the two parties are "a long way down the path" to reaching an agreement.
Van Gaal claims he could rotate his squad after midfielder is handed a three-match ban for violent conduct.
The Reds trail by a single goal after defeat in Spain last week.
Belgium international will be ready to return to action for the FA Cup final.
Sam Allardyce's side are 18th and one point adrift of safety with three matches left to play this season.
The 23-year-old winger will not be risked against Stoke City this weekend due to a slight muscle tear.
The 23-year-old star is a reported target of the Premier League club after impressing in Italy.
Leicester were crowned champions after Chelsea drew 2-2 with Tottenham Hotspur on 2 May.
The Barcelona duo have been linked with a big-money move to China in recent months.
Belgium international has not played since being stretchered off during the 4-0 drubbing of Everton in April.
Alex Iwobi has made 20 appearances in all competitions after breaking into the first-team in second-half of the season.
Jon Toral has made 38 appearances in all competitions for on-loan club Birmingham City scoring eight goals.
Argentine forward has scored 32 goals in 33 league games for Napoli this season.
The 26-year-old striker has found himself on the periphery of the team in recent weeks.
Chelsea star says Pato is likely to stay at Stamford Bridge.
Barcelona goalie has put an end to the speculation linking him with a summer move away.
Toffees will be without Gerard Deulofeu for the remainder of the campaign, according to Roberto Martinez.
The 18-year-old star is a reported transfer target of the Red Devils after impressing this season.
Real Madrid reached their 14th European Cup final, ending Manchester City's hopes of a maiden title.
Danny Ings has returned to training after spending over six months out with a cruciate ligament injury.
Mourinho, 53, reportedly keen to take over from Louis van Gaal this summer.
Everton's under-fire manager says the Foxes' achievement is unlikely to be repeated any time soon.
Liverpool need to overcome a one-goal deficit from the first-leg if they are to book a place in the final of the Europa League.
City skipper lasted less than 10 minutes as his side were denied a place in their first Champions League final.
But the former Barcelona star predicts it 'will be really tough' for Lyon to let him go this summer.
Captain Jordan Henderson remains in contention for Euro 2016 according to Jurgen Klopp.
Eriksen is convinced that Spurs are ready to compete in the Champions League next season.