The 22-year-old Englishman is regarded as an exciting prospect for the future on the south coast.
However, Roberto De Zerbi has improved his options between the sticks with Bart Verbruggen’s arrival, leaving Jason Steele and Robert Sanchez as his other options.
The Seagulls are also keen to loan out Rushworth to get him first team minutes as he is not expected to get much game time at the Amex.
Swansea boss Michael Duff is searching for a goalkeeping option as Andy Fisher is his only senior and fit goalkeeper for the upcoming campaign.
It has been claimed that the Swans have shortlisted Rushworth as a potential option to boost their goalkeeping options.
The 22-year-old custodian spent last season with League One side Lincoln City where he made 46 all-competition appearances and impressed with 20 clean sheets.
Rushworth signed a contract extension until 2025 with Brighton in January 2022 and it remains to be seen if he will further extend his deal before a loan exit.
