Antti Rinne said he and French President Emmanuel Macron agreed the UK expected to convey the suggestions recorded as a printed copy before the piece of the deal, if not, "by then it's done".
Finland right currently holds the EU's rotating organization.
A Downing Street source expressed: "We will continue masterminding and put forth suggestion at the best possible time."
Mr. Johnson has said a game plan is possible at a basic summit of EU pioneers on 17 October, in any case, he has requested Brexit will happen by the 31 October due date, paying little mind to whether a course of action doesn't agree.
The UK government said visits with the EU have been making strides since Mr. Johnson came into No 10 in July.
It said it had progressed "different recommendations" as choices as opposed to the Irish periphery hindrance the methodology got ready for hindering the appearance of a hard skirt on the island of Ireland and a key staying point in past PM Theresa May's Brexit deal.
Nevertheless, Mr. Johnson has again and again would not reveal nuances of the recommendation in gatherings, saying he might not want to counsel transparently.
The EU has continued denouncing the UK for not unequivocally expressing any plans.