According to reports from the Daily Star, that particular Premier League trio have been alerted to the powerful Sporting midfielder's potential availability following such honest revelations regarding his future plans.
"We all have ambitions and I hope one day to play in the best leagues in the world, the English or Spanish," £37 million-rated Carvalho told the Portuguese Association's magazine in quotes that were carried by the Star.
"It was not this year, but if I continue to do my job as I have done so, it will certainly come sooner or later."
In truth, it is surprising that Sporting have been successful in retaining the services of Carvalho for this long given the swift rise to prominence he has enjoyed since breaking into the first-team at Estadio Jose Alvalade during the early stages of last season.
After making 29 appearances for Sporting under former manager Leonardo Jardim, the 22-year-old was swiftly drafted into Portugal's senior international setup and featured in a playoff tie with Sweden that secured the Selecção's 2014 World Cup berth. Carvalho was also subsequently chosen for the final 25-man squad for the tournament and made his mark in group clashes against both Ghana and the United States.
While Carvalho's words will undoubtedly have encouraged his Premier League suitors, his subtle mention of Spain will surely mean they will face inevitably stiff competition for his signature from the likes of Barcelona and Real Madrid.
A commanding and effective holding midfielder who has the ability to bring the ball forward into attack with confidence, the former Cercle Brugge loanee would be a fine addition to the respective midfields of Manchester United and Arsenal - although it is certainly questionable if Chelsea have any real need for an extra presence in the centre of the park given the hugely encouraging partnership that has developed between Nemanja Matic and Cesc Fabregas in recent weeks.
Carvalho is one of several all-round midfield talents that could be on the market in January, with the likes of World Cup winner Sami Khedira - who finds himself out of contract at the Santiago Bernabeu next summer - and Chilean international Arturo Vidal widely expected to move on.