Martin Whitmarsh on Thursday indicated McLaren is hoping to keep the same driver lineup for the near future.
And it is believed McLaren also wants to keep its other former world champion Button by offering him a pay-increase.
"We're very fortunate to have two different drivers that are great in the team and great with one another," team boss Whitmarsh told reporters on Thursday.
"We'll talk about the future when the time comes. At the moment, we're not planning on having a different driver lineup."