The Sikh Federation UK, which is campaigning to remain in the EU, said its survey of 1,000 voters showed that 66 per cent wanted to stay, 24 per cent to leave and 10 per cent were undecided.
However, the Sikh Council UK has decided to stay neutral and indicated that the opinion remains divided among its members.
"We're an aspirational community with a lot of young professionals and many of those are very much in favour of staying in. Those who are less supportive see that EU migration cannot be stopped, but it gets harder to bring a spouse into the country or to get permission for relatives to attend a wedding," a spokesperson said.
Simon Woolley, of Operation Black Vote (OBV) which campaigns to increase voter registration among ethnic minorities in the UK, believes the answer lies in better engagement from both camps.
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"For months we've been excluded from this debate, but it's clear that our votes are up for grabs and could make a difference," he said, warning against a growing anti-EU fervour among BME voters.
"One is a longstanding feeling that the European project has been anti-black - we've seen the emergence of far-right groups, some of them pretty nasty. Added to that is that many black people feel they're competing for jobs with Eastern Europeans. The two things come together in the feeling among some that the 'EU is really not right for us'," Woolley told the newspaper.
"They appear less likely to take advantage of free movement (very few move about for work and, arguably, feel less...'shared identity' with others in Europe). Some view Europe in explicitly ethnic or racial terms, identifying Fortress Europe as a way of keeping out non-white immigrants while allowing significant levels of European migration," it said.
While most religious groups in the UK have so far decided to stay neutral ahead of the referendum, the Muslim Council of Britain called for an "informed debate that does not scapegoat minorities".
The 43-year-old said in a speech earlier this week that voting to leave the EU would help Britain "take back control of our borders".