With the opening stages lacking in real action, this contest had a distinctly end-of-term feel about it until West Ham suddenly went ahead in the 23rd minute.
A corner was flicked on by Winston Reid towards Antonio, who Stoke allowed too much space to control the ball, turn and fire in.
The goalscorer had done well, but certainly it appeared the Potters should have done better.
Ryan Shawcross blocked a Manuel Lanzini shot soon after, and with Stoke then once again ponderous, Antonio fired over and Sakho blasted wide.
West Ham kept up the tempo, with Cheikhou Kouyate next to try his luck, seeing a strike deflect over.