Having only signed a lucrative new contract with the Reds earlier in the campaign, Gerrard is favourite to remain in the colours of his boyhood heroes come August.
"Despite Wenger's reported interest we think Fergie is in pole position. This said, it is still odds-on that he will start next season at Anfield," revealed Ladbrokes spokesman Warren Lush.
Current odds on Stevie's summer status:
2/7 LIVERPOOL
9/2 MANCHESTER UNITED
5/1 CHELSEA
20/1 ARSENAL