The former Tannadice favourite returned to his old club in the summer on a six-month loan deal but scored just three Scottish Premiership goals in 19 appearances.
The Scotland international has now returned to Ewood Park but Rovers boss Gary Bowyer believes he may need another spell on loan before he is ready to return to action for the Sky bet Championship outfit.
Aberdeen and St Johnstone have been linked with the 24-year-old but Ricky Gillies of the Pro-Legal Group, who represent the player, claims Goodwillie believes he can make an impact for Blackburn now.
He told Press Association Sport: "David is heading back to Blackburn and his main aim is to push himself back into the first team there.
"He is keen to get his career kick-started and the only place he is looking to play is Blackburn. He gets on well the manager, who rates him.
"There is no reason why he can't go back there and do well.
"He is competing with Jordan Rhodes who is an B£8million striker for a place in the team but he believes he can go there and score goals.
"People say his loan spell at Dundee United didn't work out but United have been flying and it was hard for him to get a run of games.
"But over his career his scoring ratio has been spectacular and he just needs time on the park if he is to get back to that kind of form."
Goodwillie helped United win the Scottish Cup in 2010 and notched up 40 goals in 136 games before sealing a B£2million switch to Rovers a year later.
But he failed to settle in Lancashire and returned to Tayside in August. United chairman Stephen Thompson, however, described Goodwillie's return to Tayside as a "disappointment".
Gillies has not ruled out another loan move but insisted Rover's financial demands may make it difficult for Scottish sides to make an offer.
"If he does go out on loan, it's important he goes to the right club," he said. "We have heard from Aberdeen, St Johnstone and Oldham and they are the club showing a keenness.
"But it is difficult for Scottish clubs because of David's contract situation.
"Blackburn will want to get him playing one way or the other, though, because he's not an asset to them right now if he's sitting on the bench.
"He has 18 months on his Rovers deal left but for him it's not about money. He just wants to prove himself. He's not in a rush to leave."
- Sports & Recreation
- St Johnstone
- Ricky Gillies