Almunia deputised for Lehmann earlier in the season while the German international was sidelined through injury.
The Spaniard has since become Arsene Wenger's first-choice stopper, meaning the now fit Lehmann has had to settle for a place on the bench.
"We maintain a distance. There is no dialogue. It's better for me that way. I'm a lot calmer not talking to him," he said in The Sun.
"I'm having the best time of my career, enjoying each game as if it is my last. I like living fully in the present."