Gerrard has won a number of trophies during his time at Anfield but Eriksson believes that the Reds skipper will not enjoy success in the league unless he seeks a move from Merseyside.
Eriksson said: "I don't begrudge a good guy like Steven winning the Premier League.
"But maybe he needs to change clubs if he wants to win that title.
"The question is whether he will ever win a Premier League title? As things look now, absolutely not."
Gerrard signed a long-term deal to remain at Liverpool earlier this year.