Liverpool stretched their unbeaten league run to 8 games, but it was their 7th draw of the campaign at Swansea.
After an enterprising start from Swansea, the reds edged the game and saw a Sterling shot returned off the crossbar before Jose Enrique had a goal flagged offside.
Swansea knocked the reds out of the League Cup at Anfield just weeks ago, and this was to be Brendan's first return to the Liberty Stadium since his last game, a win over Liverpool at the end of last season.
Liverpool fielded a slightly changed side - with both Henderson and Downing getting rare Premier League appearances.
Pepe Reina was the less busy of the first half keepers - but did well to deny a shot from Routledge.
Jose Enrique, quickly becoming one of Liverpool's more attack-minded players, found himself in a great position when a cross was whipped in, but it bounced in to him - his reaction to chest the ball in seeing it go narrowly wide.
But later he did put the ball in to the net from a similar move. It was ruled offside. Replays suggested it was a marginal decision.
Swansea were forced in to some tactical changes at half time to counter Liverpool's dominance and they did see more of the ball in the opening exchanges of the second half - but the reds finished the stronger - Jonjo Shelvey with the pick of the chances.
But it was to no avail - and the reds remain consolidated in mid-table.