The partnership, which should give the Enstone-based Formula 1 outfit long-term financial security, has been worked on for several months.
But sources suggest that the final pieces of the deal will be put in place over the next few days, with confirmation of the plans expected later this month.
One change from the original plan announced in June, however, is that the new partners have renamed their company from Infinity Racing to Quantum Motorsports.
That revision came about to avoid confusion with Red Bull's title sponsor Infiniti.
Boullier said he was awaiting updates from his board but he was optimistic that good news was imminent.
"I have to wait for the board to decide," he said. "Everything appears to edge in the right direction, but until it is all signed and confirmed we will see."
Boullier has openly said that once the team's money situation is sorted then he will be able to finalise his 2014 driver line-up and sign a team-mate for Romain Grosjean.
If the team has a secure financial base, then its preferred option is Nico Hulkenberg, but Felipe Massa, Pastor Maldonado and Kevin Magnussen have also been linked with Lotus.
"Everything should fall in place soon, so once it does we will start to tick the boxes," added Boullier.