Shelton has yet to win a Grammy; Lambert, his wife, won her first in 2011. Both of their tracks are also nominated for best country song, though the singers didn't earn nominations because they didn't write the tunes.
Shelton made the comments Tuesday while promoting "The Voice," where his three-time winning streak came to an end when his final teammate, Cole Vosbury, was eliminated.
The country star is looking ahead to the Grammys, where's he's up for best country album for his eighth album, "Based on a True Story..." He will battle Taylor Swift, Jason Aldean, Tim McGraw and newcomer Kacey Musgraves in the latter category.
"It's just awesome to be included and thought of in that group of artists," he said. "This is a window of time that will go by quickly and I know that and I want to enjoy it."
Swift and Musgraves lead among country acts with four nominations at the awards show, to no surprise. But country music Grammy snubs included Luke Bryan, who had a best-selling album with "Crash My Party," and Georgia Florida Line, who topped the charts with the multiplatinum, Nelly-assisted hit, "Cruise."
"Every year there's artists that I think should have a Grammy nomination and yeah, I'm surprised that Luke wasn't nominated. I'm surprised that I think Florida Georgia Line wasn't nominated. It's surprising, but you know, there's always next year," said Shelton. "If I wasn't in there I'd be really upset, but since I'm in there I really don't give a crap about anybody else," he joked.
The Grammy Awards will air live on CBS from the Staples Center in Los Angeles on Jan. 26. NBC's "The Voice" will crown a winner Tuesday.