Pritchard, a former England Under-21 international, has made two senior appearances for Spurs.
He has scored a total of 20 goals in 100 matches on loan at Peterborough, Swindon, Brentford and West Brom.
The 23-year-old would become Championship club Norwich's third summer signing, after keeper Michael McGovern and winger Sergi Canos.
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Norwich City are in talks to sign Tottenham Hotspur midfielder Alex Pritchard, reports BBC Radio Norfolk.