The 19 year-old forward stated that his representatives are currently managing his transfer future while he remains focused on international duties.
Liverpool have already formalised their intense interest by communicating a willingness to pay up to £80 million for the teenager.
The Bundesliga club are desperate to retain the attacker and are holding out for a total package closer to £112 million.
RB Leipzig officials want to convince their young star to sign a new contract extension rather than permitting a departure to England.
The winger featured for Ivory Coast during their recent two-one international defeat against Germany in a fixture played in Toronto on Saturday.
The young attacker was eventually substituted for former Arsenal forward Nicolas Pepe during the second half of the competitive match.
The highly-rated player indicated that his professional future would be properly addressed once his international tournament commitments have concluded.
"Would I be open to the Premier League? I don't know," Diomande said. "I am an RB Leipzig player, but why not? My agents will sort that out."
"As for me I am more focused on the World Cup, that's the most important thing," he added.
"It doesn't happen all the time, it's only every four years, so I am making the most of it and for the rest, we'll see."
Ivory Coast head coach Emerse Fae chose to downplay the intense media speculation surrounding the immediate future of his young forward.
"When we were in France, during the preparation, journalists told me he was about to sign with PSG," Emerse Fae joked.
"Here, they tell me he's about to sign with Liverpool!
"I don't know, but for now, he will focus on the World Cup, and then afterwards, he can think about the rest of his career," the coach concluded.
Anfield officials are prepared to test that resolve with a formal bid as they look to land a premium attacking talent.
The Merseyside club view the teenager as an ideal long-term addition to their front line under their current recruitment strategy.
Negotiations are expected to intensify significantly once the player returns from his international campaign in North America.