Plans for a large expansion of the Edgartown Stop & Shop are proceeding slowly, with the town planning board Tuesday hearing results of a traffic study and an update about potential complications involving a bank branch next door.

Last month the board opened a public hearing to review the project, which includes a 16,000-square-foot addition to the Upper Main street store, along with increased parking and revised traffic circulation in the area. Plans also call for relocating the Stop & Shop pharmacy from its present location at the Triangle to the expanded store, and demolishing an Edgartown National Bank branch next door.

The project will require review by the Martha’s Vineyard Commission as a development of regional impact; the planning board has said they plan to send the project to the MVC after holding town-level hearings.

Representatives for Stop & Shop parent company Ahold have said the expansion is necessary to update the store and better serve customers. Concerns from neighbors and town officials so far have focused on traffic, parking and noise.

On Tuesday, traffic planner Randy Hart said results of an August traffic study showed the expansion would have a relatively minor impact on traffic in the area, which is often congested during the busy season. The project would result in 76 net new vehicle trips (39 entering, and 37 exiting) during a weekday evening peak hour, he said, and a total of 93 net vehicle trips (48 entering, 45 exiting) on a Saturday mid-day. He said this was a conservative estimate and the actual number would likely be lower.

With a finite customer base on the Island, Mr. Hart said, “We don’t think there’s going to be a major shift, much new traffic.”

Existing plans call for the demolition of the small Edgartown National Bank branch next door, which allows a north driveway in and out of the parking lot to be realigned with Pinehurst Road. But Edgartown National Bank president Fielding Moore said Tuesday that the bank has a lease on the building through 2020 and the two sides have yet to come to any agreement about relocation. The building is owned by Ahold.

“It’s going to be difficult for Ahold to move ahead without our consent, the way the lease is written,” Mr. Moore said, adding that the two companies have been in discussions about the issue.

“We’re not going to be unreasonable but we’re still far apart from an agreement,” he said. “So hopefully we’re not wasting everybody’s time.”

Attorney and Stop & Shop representative Geoghan Coogan said it is possible that the bank will remain somewhere on the Stop & Shop site, but could be relocated elsewhere in the Stop & Shop parking lot.

Planning board Fred Mascolo said he’s seen a difference between off-Island Stop & Shop stores and the Edgartown shop.

“They’re much more spacious when you walk inside, diversity is through the sky,” he said. “I understand the constraints of size and everything, but I would hope that if or when we approve this expansion that you would be able to show us a completely different shopping experience for the customer.”

He said a second concern was impact on neighbors, particularly noise and visual impact.

Mr. Coogan said a sound study is underway and the company would work with neighbors regarding landscape plans as well.

Because of a packed agenda Tuesday, the hearing was kept to 40 minutes and continued to Jan. 3. The board plans to address public comments at that hearing before sending the project to the commission.

In other business Tuesday, architect Chuck Sullivan said he is taking over the project to build apartments in Post Office Square. The project came under fire last spring when construction of five apartments on the second floor of the building housing the Edgartown post office led to leaks and a two-month closure of the post office.

The approved proposal called for five apartments to be built on the second floor of the post office building, and three more in an adjacent building that houses a Bank of America vestibule and retail space.

Mr. Sullivan said Tuesday that phase two of the project, which would include the three apartments over the bank building, will not go forward.

The planning board urged him to address concerns about the parking lot, which “is total confusion to a lot of people,” board member Michael McCourt said. They also made clear their displeasure about the project’s setbacks.

Mr. Sullivan said he would try to make sure changes to the parking lot are completed as soon as possible.