In their eight previous meetings with Leicester, Chelsea had scored 38 goals – an average of 4.8 per game.
But this was not the goal fest some might have been expecting.
In the first half, Bompastor’s side were sloppy in possession and they gave the ball away with lazy passing on countless occasions.
Leicester penned the Blues in and limited their chances with disciplined pressing, while Beever-Jones often looked isolated up front after her opener.
Club record signing Alyssa Thompson and Sam Kerr, who scored on her return last weekend after 20 months on the sidelines, came on in the second half but they both struggled to make an impact and Chelsea failed to threaten in front of goal after the interval.
The Blues have looked far from convincing in their opening three WSL fixtures and are yet to reach the levels from their invincible campaign last term, but Bompastor will be relieved they have found a way to grind out another result.
“This is normal, it’s early in the season. I’ve been changing systems, I’ve been trying things out and maybe the team is missing a little bit of connection. Maybe you could see that in the game today,” Bompastor told Sky Sports.
“We won the game which is important, but in terms of performance we need to improve. We have higher standards.”