Ecclestone continued: "At this time, there are no indications it won't go ahead.
"It's really not up to me to decide whether it should go ahead or not. It's up to the people in Bahrain to decide. At this time, they are not cancelling the event, so presumably they are happy."
The Bahrain International Circuit (BIC) says two representatives of the Lotus team have visited the country and have told all F1 team principals they are "confident that everything is in hand" regarding safety measures for the 22 April race.
Lotus have since responded, saying the report had been confidential.
A team statement said: "Earlier [on Tuesday], the Bahrain International Circuit (BIC) issued a press release attributing quotes to our team showing support for the Bahrain GP.
"These quotes were part of a full internal and confidential working document, that was also sent on a confidential basis to all F1 team managers last week.
"Lotus F1 Team is one of 12 contestants of the Formula 1 World Championship and we would never try to substitute ourselves for the [sport's governing body] Fédération Internationale de l'Automobile (FIA), which is the only party entitled to determine if a grand prix should go ahead or not."
Frank GardnerBBC security correspondent
"The Grand Prix employs thousands of Bahrainis and, according to the government, brings in hundreds of millions of dollars' worth of business, putting Bahrain firmly on the world sporting map.
"The problem is, those protests are far from over, the country is perhaps more divided than ever along sectarian lines, and one of the most prominent pro-democracy campaigners, Abdulhadi al-Khawaja, is two months into a hunger strike in protest at his life sentence on charges of trying to overthrow the monarchy."
The team said it endorsed a statement released earlier from the Formula One Teams Association (Fota), which represents Lotus as well as Caterham, Force India, Marussia, McLaren, Mercedes and Williams.
The Fota statement said: "There's been some media speculation recently to the effect that the teams may seek to cancel this year's Bahrain Grand Prix.
"That wouldn't be possible. Teams are unable to cancel grands prix. We race in an international series called the FIA Formula 1 World Championship, and it is therefore for the FIA to offer the teams guidance on these issues."
Fota does not represent Ferrari, HRT, Red Bull, Sauber or Toro Rosso.
Ecclestone added he had also been reassured about safety by Bahrain sporting chiefs and an F1 team, which he did not want to name, which he said had been out to the Middle East to assess security.
"One of the teams sent a person over there recently - and I've spoken to them today actually - and they said everything's perfect, there's no problem.
"They've been to the circuit, they've been everywhere in Bahrain and they are very happy.
"We can't force teams to take part. They would be in breach of contracts with [F1] if they didn't, but we would deal with that matter as a separate issue."
Ecclestone added he was "not in a position" to consider whether Bahrain should be axed from the F1 calendar at the moment, despite saying the race's contract may not be renewed when it runs out.
BIC chairman, Zayed Al Zayani, added that "scaremongering tactics" had helped create misconceptions about the current situation and insisted Bahrain was ready to host the race.
Bahrain GP set to go ahead - Ecclestone
"What has been happening is that armchair observers - who have not been sufficiently interested or committed to investigate the situation for themselves - have been driving this debate, at the expense of those neutral parties who have taken the trouble to investigate the situation at first hand," he said.
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