The Hammers staged a stunning late comeback to get the better of 10-man Everton 3-2 away from home at Goodison Park in the Premier League on Saturday afternoon.
Adrian played a massive role in the win for the London outfit, making as many as six saves over the course of the 90 minutes.
West Ham co-chairman Sullivan has spoken highly of the 29-year-old Spanish goalkeeper.
“I have to say a big thank you to our keeper Adrian who once again showed his quality and kept us in the game with a fine penalty save and then an even better block to deny Lukaku when he looked certain to score,” Sullivan wrote on West Ham’s official website.
“I'm sure Adrian enjoys playing against Everton and few could forget his famous winning kick from the penalty spot against them last season.”
Adrian has played well this season and is arguably one of the more underrated players in the Premier League.
The former Real Betis goalkeeper has kept eight clean sheets in 26 league matches so far this campaign. The 29-year-old has made 2.81 saves per game and 2.70 saves per goal on average.
West Ham are fifth in the Premier League table at the moment with 49 points from 29 matches.