The on loan striker scored 5 times for 'Pool as they won promotion to the Premier League and Ian Holloway is thought to be keen on keeping the Scot.
The Mirror says that 'Dobbie has been given the green light to seal a permanent £500,000 switch to Premier League new-boys Blackpool.'
After signing on a free transfer last summer, the 26 year old struggled to force his way into the team under Paulo Sousa, who preferred the likes of Craig Beattie and Gorka Pintado up front earlier in the season.
Yesterday, Huw Jenkins remained tight lipped on the situation: "Paulo Sousa has to make a decision this summer on where he (Dobbie) can fit in and if he can fit in.
"We had signed him to play for Swansea, but nothing has been decided as far as the forward positions go."
Dobbie has made just 8 appearance for Swansea, 3 of them off the substitutes bench, and scored 3 goals in the League Cup.