Boss Brendan Rodgers has called for full focus on Leicester’s run to the Champions League.
Jamie Vardy scored his first goal for two months as the Foxes prepared to return to the Champions League following the win over West Brom.
Strikes from Jonny Evans and Kelechi Iheanacho closed a 3-0 win in 40 minutes at King Power Stadium on Thursday.
The Foxes, third in the Premier League, are now four points ahead of fifth-placed West Ham.
The victory came after Leicester reached the FA Cup final for the first time in 52 years after Sunday’s semi-final victory over Southampton and Rodgers want no distractions.
He said: “I don’t think about other teams, we have to think about ourselves. We can only control ourselves. There is nothing guaranteed, we want to make it to the top four.
“It’s a team that has evolved but I can’t ask for anything more from the players.
“Any victory in the Premier League is always a very good victory, especially against a team that has shown a lot of good form. It was an excellent victory.
“We lost too many single passes in the first half, but you can’t take anything away from the overall performance.
“I told the players it was the time of the season, just because they got to the final, that doesn’t mean we have one foot in and one foot out. We have other commitments. “
Iheanacho missed a golden chance after just three minutes when Conor Townsend’s mistake sent him only for Sam Johnstone to force him aside.
Mbaye Diagne missed his kick in front of goal soon after and Leicester took the opportunity to kill the game.
Vardy, who had not scored in his previous 11 games, opened the scoring with his 15th of the season when he finished the pass from Timothy Castagne after the brilliant throughball from Youri Tielemans.
Three minutes later Evans started from six yards against his former club to highlight Leicester’s dominance.
Castagne hit the post and Matheus Pereira’s corner bounced off the top of the bar for Albion but they never threatened to come back.
Iheanacho added a third nine minutes before the break when he picked up Vardy’s pass and finished high ahead of Johnstone.
The match was over before the break and Leicester never needed to push another, although Iheanacho was denied a second when Johnstone saved his late free kick.
The loss left West Brom nine points safe with six games to go, with manager Sam Allardyce admitting there is no margin for error.
He said, “It’s (winning) five out of six to be absolutely certain (of survival) and it’s a tall order. Try to win as many matches as possible starting with Aston Villa on Sunday.
“We have to bounce back and do our best. It was disappointing for us, especially when you know you meet a team like Leicester and heard me talk about trying your luck when they arrived.
“We had ours with Mbaye and you have to take this chance because it puts them in the background. When you run out, you can often pay the price. We did it because Leicester came into the game and passed us.
“The game was past us (at half-time) and we had to make sure to close the back door.”