The Reds currently sit in fourth place and moved to within just four points behind leaders Chelsea with a last-gasp 3-2 victory over Fulham on Wednesday.
|10/1||Everton are 10/1 with Paddy Power to finish in the top four|
But Martinez believes his side can emulate Liverpool's title challenge and insists the rivalry they share is a positive one.
“It is great for the city," the Spaniard told reporters. "We have got huge rivalry between the two clubs and that is very, very positive.
"It is important that the two teams can be as strong as we can, that we push each other, and hopefully be very successful and strong forces.
"Liverpool this season play a real high intensity game. The first 20 minutes at Anfield is probably the hardest in the league to play.
"They are taking advantage of their outstanding counter-attack and dead-ball situations."