Sturridge has rarely featured under Jürgen Klopp this season and is widely expected to leave Anfield at the end of the campaign, but Pearce, who worked with the forward while at Manchester City, thinks the former Borussia Dortmund boss could be persuaded to give the 27-year-old another chance.
"If he can get back on the pitch and score the odd goal between now and the end of the season, it might just sway the manager at Liverpool to keep him, if he feels as though his future's at the club," Pearce told Sky Sports.
"He can score goals, you know he can score goals, consistently he's done that all through his career both international and at club level, I'm sure there's always a taker for someone who's consistently going to score. Where that'll be I'm not sure."
Sturridge has fallen behind Divock Origi and Roberto Firmino in the pecking order at Liverpool, with the Belgian and Brazilian both more adept at carrying out Klopp's instructions. A potential destination for the England international is tough to identify, but Pearce thinks he may consider a move to the Reds' close rivals Everton, who are keen to bolster their strikeforce in the summer.
"It depends in his and his agent's minds whether, with West Ham United being mooted, whether he sees that beneath him at this moment in time," Pearce added. "He'll be looking somewhere further up the food chain, which as the league stands at the moment would be Everton and above."
Any thought of a move to Everton will have to be put to one side for the time being, with Sturridge's immediate focus firmly fixed on Liverpool's clash with Watford on Monday (1 May). The former Chelsea striker has been struggling with a hip problem in recent days but is set to be included in the squad to face the Hornets at Vicarage Road.