West Ham are now 11 points clear of the relegation zone with six games left to play this season.
"I've had a tough couple of weeks - I was sick for a little while - so it was nice to get out there and play again on Monday," Reid told the club's official website.
"Obviously we've come to a place where they needed the points too, but we came away with the win which was really positive.
"They came back with a goal and we had to hold on and defend. At the end of the day we did that well enough and I think we can be pleased to get another important win."
West Ham are back in action on Sunday when they entertain Liverpool in the Premier League.