West Brom assistant manager David Kemp has urged the boo boys to support the team and encourage the players, after Albion were jeered both during and after their home draw with Swansea.
Some fans also directed abuse towards manager Tony Pulis before Salomon Rondon's injury-time equaliser rescued a point for his side.
Chants of "You don't know what you're doing" could be heard around The Hawthorns shortly after Gylfi Sigurdsson gave Swansea a 64th-minute lead as Pulis' perceived negative approach drew criticism, along with his handling of striker Saido Berahino, who was once more on the bench.
Chances came and went for West Brom before Pulis answered the fans' calls for Berahino, who last started a Premier League game in October, only for his decision to take off Stephane Sessegnon to prompt another negative reaction.
"Fans pay their money but I've got to be honest, I don't quite understand that," Kemp said.
"In the old days, when I was a young man, fans came along to cheer their heroes, now they seem to wait for an opportunity to have a bit of a moan.
"Tony isn't an inexperienced manager, he's had nearly 1000 games. You want the fans to be your 12th man. I don't think the booing helps, that's my own personal opinion.
"In the previous home game against Aston Villa we didn't play well, there's no question about that, but I thought we were much better tonight.
"Whether they just expect you to roll over teams, I don't know where that comes from. It's not that easy. The Premier League is a tough league, you have to treat everybody with respect.
"If you come out and do your best, like I think our players do, you could complain about the quality maybe, but I don't think you could criticise their effort."
West Brom lost Jonny Evans to a hamstring injury early in the second half and the central defender is a doubt for the trip to Newcastle at the weekend.
"He'll have that scanned to see the extent of that, hopefully it's not too bad," Kemp said.
"I think his previous one kept him out for a couple of weeks so we'll hope for the best there. Everybody gets injuries but we've got some important players out right now.
"If Jonny's not available for a few weeks we've already got James Morrison out, we've got Chris Brunt out."
Swansea also have an injury concern following the game after Ki Sung-Yeung took a whack to the head in an incident involving Sessegnon. Ki was carried off on a stretcher but was not taken to hospital for checks.
"At this moment he is well and does not need to go [to the hospital]," said Swansea boss Francesco Guidolin, who replaced Ki with new signing Alberto Paloschi.
The £8 million-signing from Chievo almost made an immediate impact, latching on to Wayne Routledge's through ball but goalkeeper Ben Foster was quick off his line to block the Italian's shot.
Paloschi also poked an effort against the post late on and Guidolin thinks his countryman will be a success for the club.
"It was a positive debut but I was sure he would play well because he is a good guy and a good player," said the Swansea manager.
"I was pleased for him. He has just arrived but he has enthusiasm, passion, and this is a dream for him like it is for me and he will be a good player for us."