Thistle manager Ian McCall confirmed to BBC Scotland that a deal has been agreed for the 19-year-old, with the Firhill club picking up the forward for a nominal fee with a sell-on clause.
Details are still to be finalised but Rudden is expected to return to the Championship where he scored 12 goals on loan to Falkirk during the 2018/19 season.
The teenager had spent the first half of this season on loan at Plymouth Argyle, where he scored two goals.