The Portuguese midfielder has failed to justify his hefty price tag since joining the Catalan giants.
Gomes almost completed a late deadline day move to West Ham as he looked to escape his nightmare in Spain.
He was also heavily linked with a move to Tottenham Hotspur at the end of the window.
However, it is Premier League rivals Manchester United who will look to purchase the 24-year-old in January.
According to Don Balon, Mourinho will look to exploit Barca's desire to move the player on and recoup some of the €35m (£31m) fee they paid Valencia for his services.
And the Red Devils boss believes under his stewardship, Gomes can spark new life into his career.
The central-midfielder has struggled to oust Andres Iniesta, Sergio Busquets or Ivan Rakitic in the middle of the park for Barcelona.
However, Gomes may also find it hard to break into United's first-team.
Paul Pogba, Marouane Fellaini and Nemanja Matic have all enjoyed fantastic starts to the season.
Mourinho said earlier in the week that he believed the latter pair were playing the best football of their careers.
United also have Michael Carrick and Ander Herrera at their disposal in central midfield.
