Baggies goalkeeper Boaz Myhill had to be alert to keep the Reds at bay but the hosts had their own effort cleared off the line in the second half as Brendan Rodgers's side stalled
Gerrard was denied a farewell appearance in the FA Cup final when Aston Villa beat Brendan Rodgers's side 2-1 in the semi-final last time out and they also look likely to miss out on a top-four finish in the long-serving captain's final season before moving to LA Galaxy.
Liverpool had the better of Saturday's encounter at the Hawthorns but were unable to respond to their Wembley heartbreak with a victory as the Baggies dug deep to move a point closer to safety.
Jordon Ibe struck the crossbar in the second half and Gerrard came close with a free kick before the break but it proved to be a frustrating afternoon for Rodgers's men.
|VIEW FROM THE HAWTHORNS
|By Tom Davis
Liverpool's attentions are now focused purely on a top-four finish after their exit from the FA Cup - yet, in a game with little quality, this was not the performance of a side whose season hinges on Champions League qualification.
Philippe Coutinho and Jordan Henderson produced a fine double save from Boaz Myhill just before the hour mark in what were Liverpool's first shots on target. Jordon Ibe then hit the bar but chances were few and far between.
West Brom, who had a header off the line, ended the stronger of the two sides and will be happy with the point.
Mario Balotelli made his first Premier League start since November for Liverpool, while Ibe and Glen Johnson also started as Lazar Markovic, Joe Allen and Alberto Moreno dropped to the bench.
Liverpool were caught napping five minutes in, when West Brom's Craig Dawson headed a Chris Brunt free kick back for Craig Gardner to try his luck with a scuffed shot from long range that fizzed through a crowded penalty area and out for a goal kick.
Gerrard came close to marking his landmark appearance by curling in a 26th-minute free kick but the captain's measured effort went just over the crossbar.
Both sides were lacking quality in the final third but Balotelli was not too far away with a venomous first time strike from around 20 yards out 10 minutes before half-time.
The Merseysiders continued to look the more likely to open the scoring after the interval and somehow failed to break through in the 55th minute when they were denied by a combination of Boaz Myhill and Joleon Lescott. Philippe Coutinho's effort was bound for the back of the net until Myhill saved at full stretch and Jordan Henderson was first to react but his shot was blocked by the alert Lescott.
The lively Ibe beat Myhill with a rasping strike after playing a neat one-two with Balotelli but the winger's effort struck the top of the crossbar.
Liverpoool were almost caught out after 62 minutes, though, when Dejan Lovren had to intervene with a last-ditch clearance to stop James Morrison's header from going in after a bad mistake from Martin Skrtel.
Coutinho's long range drive landed on top of the net as Liverpool continued to probe but Simon Mignolet was required to keep out Callum McManaman's late effort before Lovren went close with a header in injury time.