Following the win, manager Roy Hodsgon spoke about the injury status of two key players – Scott Dan and Jason Puncheon.
"Dann and Puncheon are both cruciate ligament injuries," added Hodgson. "They'll both see a specialist and likely undergo surgery once the swelling goes.
"We won't see them play again this season and may not be ready for the start of next. They're very serious injuries."
The win put Palace above Southampton in the table, and gave them some distance to the dreaded drop zone in the league.