Hammers missed a number of decent opportunities, but are now unbeaten in three Premier League matches.
The Hammers are 14th in the table, six points clear of the relegation zone.
Moyes still has significant injury problems to contend with as Winston Reid (knee), Sam Byram (ankle), Pedro Obiang (knee), Michail Antonio (hamstring) and Andy Carroll (ankle) are all definitely out of this fixture.
After a terrible first half many fans at the London Stadium were probably wishing they had taken her advice, stayed at home and tuned in instead.
"If we win the two at home and then one away, maybe we are still in [the Premier League]".
Marko Arnautovic was being booed by the visiting fans and the former Stoke man should have tested Jack Butland after being fed by Joao Mario, instead dragging his 32nd-minute strike wide.
The Mexican striker has been linked to a few Premier League sides in the past year, and O Jogo seems certain that West Ham were watching him this weekend.
Without back-to-back home wins since 2016, West Ham may have found better form since David Moyes joined them in November but consistency continues to elude them.
It's newspaper O Jogo which reports West Ham's presence at the game, claiming there was one specific target they were keeping an eye on: Raul Jimenez.
Given all the bad press that has surrounded West Ham and their board in recent months, those in the club's hierarchy may have wanted to be more careful with their social media use than Karren Brady was on Monday night.
No. It was an advertisement for her new TV show that would be starting at the same time as West Ham's game against Stoke, urging her followers to watch it. However, this was a games of far rosier fortunes for Hart.
Hart will no doubt have been mortified by his costly error, but Carroll is confident his Hammers colleague has what it takes to bounce back.
"[An England return] would be nice but at the minute I'm just concentrating on staying fit and getting goals and getting in the squad here", he told West Ham's official site.