Asked if he believed that Britain might end up receiving a payment, Johnson replied: "I do, I think there are very good arguments".
"There are assets that we share, that we have paid for over the years and there will need to be a proper computation of the value of those assets," Johnson told The Daily Telegraph in an interview.
Johnson, one of the leading lights in last year's Brexit referendum campaign dismissed as "absurd" the various estimates for the exit fee that would have to be paid by Britain, which some reports have said could be as high as 100 billion euros (USD 109 billion).
The payments that London must make to settle financial commitments made when it was a member are considered one of the most difficult Brexit issues and are a top priority for the talks.
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A report in the Telegraph earlier this week said British officials estimated that Britain was entitled to 9 billion pounds (USD 11.6 billion, 10.6 billion euros) in funds held by the European Investment Bank and 14 billion pounds of other EU assets including property and cash.
"Brussels is ruthless in its negotiating techniques. They are going to play dirty. We have got to be very wary and intellectually very firm," the former London mayor said.
Quoting the famous Eagles hit, he added: "Jean-Claude Juncker thinks it's the Hotel California where you can check out but you can never leave. He is wrong."
Tensions between Brussels and London have risen in the run-up to Britain's general election on June 8, with the government accusing EU officials of "meddling" in the election campaign.