According to The Telegraph newspaper, Halifax, Virgin Money and Skipton have already decided on this step.
Credit institutions suggest that the Bank of England will raise interest rates in order to "cope with the turmoil faced by the pound."
On September 26, the pound sterling exchange rate against the dollar fell by almost 3%.
Earlier in the course of trading, it fell to a historic low.
The Moscow Exchange will suspend trading in the British pound on the foreign exchange market from October 3.