The experienced French international has impressed since moving to the Liberty Stadium and has proven all the more effective since the South Wales side saw Wilfried Bony move to Manchester City in January.
Gomis moved to Swansea City last June and netted seven goals in 31 Premier League appearances in his debut campaign, 11 of those appearances coming from the bench, and the powerful marksman has continued to improve under Garry Monk.
The former Saint-Etienne and Lyon star has scored in each of his first four Premier League appearances this season, including a goal away to Chelsea, and is now a key member of the Swansea City attack.
His fourth goal came against United, his potential suitors, on Sunday.
The Sun on Sunday, via the Metro, claim Gomis has a very affordable £7m release clause written into his contract, and Man United have sent scouts to monitor the striker’s progress. They saw up close on Sunday exactly what they would be getting should they sign the powerful frontman.
Old Trafford boss Louis van Gaal sold Robin van Persie to Fenerbahce over the summer but has failed to replace the Dutch forward and Man United have looked light in the final third.
In Premier League action, Man United netted just twice in their first three matches, one of those coming via an own goal, and Wayne Rooney hasn’t looked in his best form whilst in domestic league action, although he did of course manage a hat-trick against Club Brugges in a Champions League qualifier earlier in the week.
Prior to his move to Swansea City, Gomis netted 91 goals for Lyon and has a dozen national team caps to his name.