Harry Redknapp's side have been in the hunt for a striker after Peter Crouch, Jermain Defoe and Roman Pavlyuchenko failed to find the net regularly last season.
If a deal is confirmed, Pedroza, whose contract has expired at Jaguares, would be the second player to join Spurs this summer after the arrival of experienced goalkeeper Brad Friedel.
Pedroza told La Cronica: "I'm happy and very satisfied to leave such a great club like Jaguares and fulfil a dream [move to Europe].
"After talking it over with [Jaguares president] Guillermo Cantu and with [Jaguares coach Jose Guadalupe] 'Profe' Cruz, it looks like my days at Jaguares are coming to an end.
"I'll work very hard. We know it will be a little difficult to adapt to English football, but I will go there with the mentality of succeeding as soon as I can, always staying calm and trying to do things the best I can.
"I signed a pre-contract for three years and it looks like I will stop training here with Jaguares to join up on July 4, although I still have to confirm the flight."
Pedroza, who has trained with Chelsea and Arsenal in the past, was born in Chester and still has family living in the north-west.
He was a surprise candidate for a spot in England's Under-20 squad for the upcoming Under-20 World Cup in Colombia, but was not included in the 21-man squad named this week.
The youngster is thankful that he has been able to move to Europe and admits he does not yet know what part he will play at White Hart Lane next season.
He added: "Things were made easier for me because of my English passport. I'm totally aware of the minutes a Mexican player has to accumulate [to be able to move to England], but, thank God, it was made easier for me that way and I look like I can go there as a 'European'"
"I'll arrive [in London] in the next few days. From what I have understood, I will take part in pre-season with the first team and it will depend on me whether they send me on loan to the Championship or if I stay there, but I still haven't spoken to Tottenham."