Warrington coach Tony Smith believes that adding the Super League title to their Challenge Cup success will be "a difficult task" for his side.
No team has achieved the "double" since St Helens in 2006.
"That would be nice and we're in there trying," Smith told BBC's Super League Show. "We're going to give it our best shot but it is a difficult task.
"It's all about maintaining that concentration for the next number of weeks. It really does intensify now."
The Wire won the Challenge Cup for the third time in four years on 25 August, defeating Leeds Rhinos in the final at Wembley.
And they are among the favourites for Grand Final success, having guaranteed second position in the table with one match of the regular season remaining.
But the Wolves are unable to win the League Leader's Shield for a second consecutive year, following Wigan's record comeback at Hull KR on Sunday.