The Canaries took the lead through Wes Hoolahan, but struggling Wigan dominated the rest of the game and deserved more than the leveller they got through Victor Moses.
Lambert said: "I have always thought that if you can't win it, don't lose it. We showed great resilience and we had to.
"We could have won it at the end with (Steve) Morison's header, but I will take a point."
Norwich are now 12th, 14 points ahead of the bottom three.
Lambert said: "Until someone shows you are mathematically safe you keep going."