Some had booed Moyes during the game and questioned in song his decision not to use man of the match Khazri to any significant extent in recent months, although the Scot took it on the chin afterwards.
Borini celebrated with gusto and Sunderland pushed for a victor in the 10 minutes of injury time, with Sam Byram sent off for a second yellow to heighten West Ham's anxiety, but that crucial third goal proved elusive.
Moyes hailed the Tunisian's discipline as well as his output in the final third.
Borini, a veteran of two successful Sunderland relegation battles, said: "It's harder than the previous times".
Following today's fixtures, it's Swansea City, Middlesborough and Sunderland sitting in the bottom three, but several others are within distance of the drop zone.
"He played in a disciplined fashion as well, which made him reliable for us without the ball, as well as with the ball". I don't think we've ever been in real danger of ever looking like we're getting relegated, so we'll look forward rather than back. In the reverse fixtures previously in the season, Sunderland overcome a couple of the five sides so that they stand an opportunity of picking up points. We had some good moments.
The signing of the Nigerian was met with bemusement initially but his hold-up play, not to mention his goals, gave Sunderland an important outlet. "They'd looked different in training and they looked bright, quick and we were more like it in the performance".
Black Cats boss David Moyes confirmed that Jones had hit his head on the ground during the incident and lost consciousness, and had been sent to hospital to be checked.
The Hammers had taken the lead through Andre Ayew and James Collins in front of a crowd of 40,168 at the Stadium of Light.
"But I think you'll definitely see us look to build on that".
"I had to see it again to see where people were, but we sort of got dragged open a bit there".
By the time the clock reached the 20-minute mark, there were chants of "We want Moyesy out" from a section of the home support, although their mood improved markedly six minutes later when, seconds after seeing penalty appeals waved away, they levelled in curious circumstances.
There was a large slice of luck to the winger's opening goal, as he curled the ball straight into the net from a corner.
"But towards the end of the game, they were throwing strikers on the pitch".