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Second-row pairing Launchbury and Lawes stand in his way and the 25-year-old admits they did not put a foot wrong during England's campaign.
However, Slater is certainly not being overlooked by his club side after being named Tigers captain last month as they bid for another English Premiership title.
And though missing out on game time, he insists his RBS 6 Nations experience did not go to waste after keeping both of his England rivals on their toes.
"Was I happy with how I played against Northampton? Yes. Would I say that means I have earned a place in the England team? I wouldn't," said Slater.
"Courtney and Joe were justified selections. But I was disappointed not to play. Being ambitious, you want to be part of it.
"The credit they got over the Six Nations was warranted. They were by far the best partnership in the competition. So I've no arguments there. Going into the Six Nations my role was to push and prove what I could offer.
"My experience in the Six Nations squad was enough for them to know what I'm about. Playing on the biggest stage in club rugby is going to enhance my case by showing whether I can perform and handle the pressure."