Newspaper Het Laatste Nieuws reported that Belgium striker Lukaku has said he is to move to the Italian capital.
"I'm nervous. Tomorrow (Sunday) I'm flying to Rome to sign (for Roma)," HLN quoted him as saying at a youth tournament in which his son made his Anderlecht debut.
Italian media report the two clubs are yet to agree a deal as the Serie A club want to loan Lukaku for around five million euros ($5.4 million), lower than Chelsea's valuation.
Sky Sport in Italy report that Roma's sporting director Tiago Pinto has denied that negotiations would be done in time for Lukaku to travel to Italy on Sunday.
Chelsea have been trying to offload outcast Lukaku all summer but neither Inter Milan -- where he was loaned by the Blues last summer -- nor Juventus decided to sign the Belgium striker.
Inter were deep in talks with Chelsea but reportedly gave up on the 30-year-old after they discovered he had been secretly talking to their biggest rivals Juventus and AC Milan.
Last month Inter captain Lautaro Martinez said he had been "disappointed" by Lukaku for hiding from his teammates and refusing to answer calls before the deal broke down.
Meanwhile Juve would have had to sell Serbia striker Dusan Vlahovic in order to sign Lukaku, a move which supporters vocally opposed all pre-season and during their 3-0 win at Udinese last weekend.
With a permanent sale now off the table less than a week before the end of the summer transfer window Chelsea are talking to Roma about another loan, with the Italian club's American owners travelling to London on Friday to negotiate a deal.
Roma are at Verona on later Saturday and are set to start with an attack of Paulo Dybala and Italy's Andrea Belotti, who also played together at Palermo.
Earlier on Saturday Roma confirmed the signing of Iran forward Sardar Azmoun on loan from Bayer Leverkusen.
Roma said they have brought in Azmoun, 28, "on a temporary basis until 30 June 2024" with "the option to make the transfer permanent".
Azmoun, who has 45 goals in 71 appearances for his country, arrives after a difficult spell in Germany where he only scored five times since moving to Leverkusen in January 2021.
