Hearn is trying to line up a spot for Taylor on the undercard of Mikey Garcia's clash with four-time world champion Adrien Broner on 28 July.
Taylor stopped German Nina Meinke in a world title eliminator at Wembley Stadium in April and is expected to fight for a world title in the autumn.
Ireland's former Olympic champion has won all five bouts since turning pro.
Unbeaten Belfast boxer Ryan Burnett, who is also in Hearn's Matchroom Boxing stable, will fight champion Lee Haskins for the IBF world bantamweight title at the SSE Arena on Saturday.
It is a first crack at a world belt for the 24-year-old Burnett, whose one hundred per cent record in 16 pro contests has already earned him British and WBC International titles.

The proposed deal would combine the second and third largest cable operators in the US.
Charter is also buying Bright House Networks, another cable operator, for $10.4bn.
The combined three firms will serve cable television and broadband to 23.9 million customers in 41 states.
Charter will pay about $55bn in cash and stock for Time Warner Cable, with the balance of the $78.7bn valuation coming from TWC's debts.
US cable companies are facing stiff competition from online service providers such as Amazon and Netflix, as customers increasingly choose to stream films and television shows over the internet at a time of their convenience.
Cable companies are responding by trying to cut costs and improve the quality of their shows.
The new merged cable giant will compete with US cable market leader Comcast, which currently has about 27 million customers.
Charter's takeover move comes a month after Comcast abandoned its plan to buy Time Warner Cable fearing  pressure from regulators.
The latest deal is also likely to come under regulatory scrutiny, and the Federal Communications Commission (FCC) quickly issued a statement.
"The FCC reviews every merger on its merits and determines whether it would be in the public interest," FCC chairman Tom Wheeler said.
"In applying the public interest test, an absence of harm is not sufficient. The commission will look to see how American consumers would benefit if the deal were to be approved."
The merged company would still be smaller than Comcast, which serves about a third of US broadband customers, said analyst Craig Moffett of Moffett Nathanson Research. "One has to be sober about genuine risks that this deal could still be rejected," he added.
Liberty Broadband, which currently owns about a quarter of Charter, is expected to own about 20% of the new company.
The deal values Time Warner Cable at $195.71 per share.
Boxing promoter Eddie Hearn hopes to give Katie Taylor her American debut as a pro fighter in New York in July.
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Charter Communications has agreed to buy media giant Time Warner Cable in a deal which values the company at $78.7bn (Â£52bn).