The boost in the polls given by the visit to the U.K. by President Barack Obama for those campaigning for Britain to remain in Europe already appears to have worn thin among the British public.
Two polls in the last 24 hours now have the euroskeptic "Leave EU" campaign ahead.
Britain faces a crucial vote on June 23 on its continued membership of the European Union with the nation and its political leaders riven on whether to stay part of the 28-country group or go it alone.
A weekly online poll published Tuesday by opinion poll firm ICM, shows 45 percent of voters were in favor of Brexit, against 44 percent who believe Britain should remain in the 28-member bloc.
Bolstering the ICM findings, a new Bloomberg Research poll which has 43 percent looking to stay in Europe while 45 percent want out.
However a TNS online poll today reverses the result, putting the "Remain" camp on 38 percent and "Leave" on 34 percent.
Sterling today posted its single biggest one-day fall against the U.S. dollar in six weeks after investors digested the data.
Speaking to CNBC Wednesday, Andreas Dombret, Executive Board Member at the Bundesbank highlighted the impact of the U.K. leaving Europe on markets.
"Brexit would be the single most financial event we would see this year. I would hope the U.K. would stay as part of the EU," he said.
Dombret said he would 'feel lonely' if Britain left Europe, as he feels Germany and the U.K. have always worked well together.