After impressing on loan at West Brom last term, Belgium forward Lukaku has scored in each game of Chelsea's pre-season tour of Asia, during which Jose Mourinho's bid to land Rooney has been made public.
Lukaku said: "You know when you are playing for a team like Chelsea, there is going to be competition.
"It is the manager's choice. You have to accept that you have to work hard to make it a successful squad.
"If he is part of our team I will welcome him with open arms."
There is still some way to go for Rooney to swap the red of United for the blue of Chelsea and, whether the 27-year-old moves to Stamford Bridge or not this summer, Lukaku is determined to make an impression in the forthcoming campaign.
"I feel I am making an impact," he said.
"This pre-season it is important for us to get some performances under our belts.
"I am confident in my qualities and I am just keeping going like I have been doing. Hopefully I will continue to do so.
"I can score more goals, I can get more assists. I can do more for the team.
Source: PA
Source: PA