The 'Seagulls' won the match 1-0 thanks to a goal from Beram Kayal, but Murray was forced off after only 10 minutes, following a clash of heads with Federico Fernandez.
The English striker was stretchered off the pitch after the coming together with the Argentinian centre-back and taken to hospital.
However the move is understood to have been precautionary, with the club wanting him to undergo a scan to make sure the head injury hadn't caused any serious issues.
The South Coast club confirmed in a statement that the 35- year-old was "conscious and talking".