Morata claimed earlier this week that he had spoken to Pochettino last summer amid uncertainty over his long-term future in the Spanish capital.
The 24-year-old attracted interest from a host of clubs, including Chelsea, before Madrid eventually activated a buy-back clause to take Morata back to the Bernabeu.
Pochettino has now distanced himself from suggestions Morata's revelation means Spurs may retain an interest in the Spain international's signature.
The Argentine coach is an admirer of Morata's ability but has ruled out bringing him to White Hart Lane.
Pochettino said: "I know Morata from when I started my career at Espanyol
"The reality was that he sent a text to me when I was manager at Espanyol.
"He contacted me - it is possible to give so advice and then we kept our relationship, a good relationship.
"He's a great kid and a very good player but it's not realistic that situation - thinking Morata [is] for us."
Morata has scored 11 goals in 20 La Liga appearances this season and Standard Sport understands Chelsea boss Antonio Conte is keen to add the striker to his frontline.