Both are due to attend the United Nations General Assembly gathering though the exact timing of their bilateral meeting is yet to be confirmed.
The EU has pushed back this week against Johnson’s assertions that a new Brexit deal was in the making and warned Britain was heading for a damaging, chaotic split as soon as Oct. 31.
EU leaders will meet for a make-or-break summit in Brussels two weeks before Britain’s departure date.
On Wednesday, European Parliament head David Sassoli said separately that Johnson had invited him to London during a call.
The chamber’s priority is “guaranteeing citizens’ rights and protecting the peace process in Northern Ireland,” Sassoli said in a statement.
“Any agreement will need to be approved by both the UK and European Parliament, so robust debate and parliamentary scrutiny is essential,” it also said, adding that the EU would discuss written proposals from London to “unblock the current impasse”.