Italy international Jorginho, 26, has started 18 Serie A games for Napoli this season, scoring two goals.
There are question marks over the future of Thibaut Courtois and Eden Hazard, who are stalling on signing a new deal.
Joao Mario was previously linked with a move to Manchester United with Jose Mourinho said to be an admirer.
Ronaldo, 32, has been linked with a move away from the Santiago Bernabeu amid a contract dispute with the club.
Marcus Rashford, Ander Herrera, Jesse Lingard and Romelu Lukaku on the score sheet as Manchester United thrash Yeovil Town.
Teenager Angel Gomes could make only his second senior Manchester United appearance in the FA Cup fourth-round tie against Yeovil Town at Huish Park on Friday night.
Juventus are keen to sign Matteo Darmian, who will be allowed to leave the club in the summer, but they have to meet United's £26.5m valuation.
Barcelona have sent a representative to Brazil to step up negotiations to sign Gremio midfielder Arthur Melo.
Manchester United have been linked with a move for Nice's star midfielder Jean Michael Seri, who is also a transfer target for their neighbours Manchester City.
Sanchez joined United on a long-term contract from Arsenal on 22 January, with Henrikh Mkhitaryan moving in the opposite direction.
The Germany midfielder has signed a contract with Bayern from 1 July, ending his long-term association with Schalke.
Mkhitaryan was not a part of the Arsenal squad which beat Chelsea in the League Cup in midweek as he was cup tied with United.
Jose Mourinho has committed his future to Manchester United by signing a new deal that will keep him at Old Trafford until 2020.
Axel Tuanzebe made just three appearances for the senior team in the first half of the season but Mourinho is keen for the defender to get regular first-team experience.
Paul Merson believes Jose Mourinho's contract extension shows Manchester United can catch Manchester City going forward.
Leicester City striker Jamie Vardy has no plans to jump ship despite being linked with moves to Everton and Manchester United in January.
Joao Mario has sealed a loan move to West Ham United for the rest of the campaign after previously being linked to Manchester United.
Manchester United manager Jose Mourinho admits every manager would want Cristiano Ronaldo but played down talk of a move for the Real Madrid star.
Jose Mourinho claims he is "really honoured and proud" to be the Manchester United manager after extending his stay at Old Trafford by at least another year.
Jose Mourinho says Juan Mata, Marcus Rashford, Anthony Martial, Romelu Lukaku and Alexis Sanchez all have roles to play in attack in his Manchester United side.
David Ospina has urged Arsenal to move on from the loss of Alexis Sanchez after the Gunners beat Chelsea in the Carabao Cup semi-final second leg.
Jose Mourinho says he can use Alexis Sanchez on the right, the left, up front and behind the striker following his arrival from Arsenal.