The Hammers are currently three points outside of the top four.
The Hammers were forced to share the points on Saturday afternoon, as a controversial Cheikhou Kouyate red card saw them drop two points.
The result saw them drop to sixth in the table and three points behind Manchester City in fourth, who were comfortable winners against Bournemouth.
That is not an insurmountable gap by any means and Antonio insists that the draw does not end their top four hopes this season.
“There was definitely a sense of frustration because we went out there to get the three points and it was disappointing that we didn’t manage to get them,” he told whufc.com.
“[But] we’ve got Arsenal at home next week and we’ll look to push on. Drawing on Saturday definitely does not end our hopes of finishing in the top four.”
“It’s just one of those things that we have to concentrate on ourselves, doing what we can do and making sure we get points where we can.”
With the top four now having moved slightly further away, it will be interesting to see if the Hammers instead turn their attention to the FA Cup.
They currently have a place in the semi final up for grabs, and the day at Wembley that comes with that, if they can beat Manchester United in their quarter final replay.
Many of their fans are eyeing the competition as a perfect send off for the Boleyn Ground and perhaps the players’ focus will be turned after the weekend’s disappointment.