The 30-year-old Argentina international has been in impressive form for his hometown club, since returning to South America earlier this year from Spanish side Real Zaragoza.
Ponzio has split the past nine years between River and Zaragoza, spending two three-year stints at La Romareda, with another two-year period back at the Estadio Monumental sandwiched in between.
Now, Spurs boss Andre Villas-Boas is believed to be considering a bid to bring him to England in January, and sent White Hart Lane scouts to run the rule over him in the 2-2 derby clash with Boca Juniors.
"I knew that some people came to watch me in the match against Boca and I think in another game too," said Ponzio. "Nobody spoke with me about a possible transfer or real interest.
"Anyway, regarding my future, I am very comfortable where I am and I feel respect. I would like to take advantage of this moment."
When pressed for an answer on whether he would consider a move to the Premier League, and more specifically Tottenham, Ponzio added that it's not as straightforward as simply agreeing personal terms with a new club, and that there are a number of other things to consider.
"What comes for my career from now on will be analysed. At my age I have to analyse everything with my family," he added.
"It's not a year yet since I came back from Spain. Therefore, if an offer arrives, River and me will have to analyse it.
"I am at a good personal moment and I have to keep on going on in that way. I would like to have the chance to play for the national team again, so I have to keep on doing well at River."