The Scotland midfielder was a frustrated onlooker for the loss to Luton as the Canaries became the first team in the Premier League era to exit the FA Cup to non-league opposition last Saturday.
But Snodgrass was involved in the previous week's 5-0 loss at Liverpool which means Norwich have one point from 18 entering the Barclays Premier League clash with Tottenham, who lost their FA Cup fourth-round clash to Leeds.
The 25-year-old, who has been a key player for a Norwich side which had a 10-game unbeaten run earlier this season, said: "Seasons are full of ups and downs. We're going through that stage just now that most teams go through.
"You need to show character. I've said that word `belief' many times, because it takes that.
"We've got a great squad of boys and you need to dig deep at times like this, hopefully grind out a few results and pick ourselves back up."
The midweek arrival of Spurs to Carrow Road is welcome, following the reverse to the Hatters.
"It's a great time to have a midweek game and hopefully we can get back to winning ways," Snodgrass added.
"We've already beaten Spurs at home (in the Capital One Cup). We ran them close down there at White Hart Lane (drawing 1-1).
"It will be a tough task, but I believe we've got the character, strength, depth, the full lot in the squad that we can go and do it."
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