Media reports in Argentina have linked the diminutive striker with eye-catching blonde Duggan, 24.
While Aguero tops the scoring charts for City this season, Duggan is the leading goal-getter for the club's Women's team.
Only last week, the pair were snapped together welcoming PM David Cameron and Chinese president Xi Jinping to City's Etihad Stadium.
Aguero, 27, recently split from Karina Tejeda, an Argentine singer-songwriter.
The striker was married to the daughter of Argentina football legend Diego Maradona, Giannina, with whom he has a son, but they split two years ago.
An Argentine chat show showed off a collection of pictures of Duggan, before displaying a photo of the pair together at City's training ground.
They appeared keen to link the pair and looked to give a big thumbs up to Duggan as her picture was shown on screen.
Now it has been claimed he is looking for love a little closer to his adopted home in Manchester.
Duggan was born in Liverpool in 1991 and has won 27 senior England caps, scoring 14 goals.
(The Daily Star)
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