The Warriors have announced fresh terms for 32-year-old Murray, who joined them from Newcastle earlier this season.
Murray is set to win his 50th cap when he packs down for Scotland in Saturday's RBS 6 Nations clash against England at Twickenham.
He toured South Africa with the 2009 British and Irish Lions and was also a member of Scotland's 2007 and 2011 World Cup squads.
"Euan has made a very good impression in the short space of time he has had here," Worcester head coach Richard Hill said.
"It is not easy for someone coming in mid-season, but he has settled in remarkably well and is working well with the other front-row forwards.
"He gives us that strength in depth in the front-row, which is something that clubs like Northampton and Leicester have always had.
"You have got to have a very powerful scrum to be successful in this league - you can't get away from that.
"Euan is good in defence and carries strongly in the loose. He is a genuine all-round player."
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- British and Irish Lions