The 23-year-old restored Chelsea’s lead in the 72nd minute after Kai Havertz’s opener was cancelled out by Granit Xhaka’s second half header.
Abraham punished Hector Bellerin for his misplaced pass and slotted past Bernd Leno into the bottom corner to bag the decisive goal to take the victory back to west London.
What Tammy Abraham said
Speaking to Chelsea TV post-match on the win, he said: “I’m absolutely tired. I’m shattered. The boys have been working hard in training and it’s for the best. We are all ready for the season. We still have time, players are still coming back. We will get there.
When there’s four players and 20 coaches watching you it’s different. We were there from day one and working hard. The other boys who have come back are working hard too.
“We’re back. We have to keep working hard and be ready for the new season.”
Chelsea play Tottenham Hotspur in their final match of pre-season on Wednesday night at Stamford Bridge.