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Deputy Prime Minister Nick Clegg has said he wants the investigations into the allegations against Lord Rennard to be carried out "as quickly as possible".
"The key thing, not least for the women involved, is that the investigations get their work done as quickly as possible," he said.
The Liberal Democrat leader, who was visiting the Aston Martin car factory in Warwickshire today, went on: "The important thing is that the two investigations I announced last week are allowed to get on with their work, and that the police investigation is allowed to get on with its work."
He added: "It's crucial we get to the bottom of the truth and do that as soon as possible."
One of Lord Rennard's accusers, Alison Smith, has confirmed she has spoken to the confidential police hotline set up in the wake of the Lord Rennard allegations.
In a statement, she said: "I can confirm that I have just spoken to the confidential police hotline regarding Lord Rennard.
"The Police are very keen to deal with the matter discreetly, and I agree it is important that other people coming forward should be able to do so without fear of being caught up in the current media storm.
"In addition, it is important that the allegations against Lord Rennard are now dealt with through formal processes. From that point of view, I will be making no further comment on the specific allegations against Lord Rennard, or the process of dealing with the police.
"I would encourage anyone else who wishes to report concerns to call the confidential hotline on 020 8721 4601."
David Cameron has said the two Liberal Democrat inquiries "must get to the bottom of these very important allegations" against Lord Rennard.
The Prime Minister was questioned on the issue while speaking to the press during his visit to Latvia.
The Daily Telegraph noted Mr Cameron refused to declare support for Nick Clegg, reporting that the question that prompted his response asked whether he had "confidence in the way the Deputy Prime Minister has handled" the claims against the peer.
The BBC is reporting that the Liberal Democrats have reprimanded a peer after he telephoned a woman who had complained to newspapers about Lord Rennard's behaviour.
Lord Stoneham reportedly remonstrated with the woman and Nick Clegg's aides are said to have described his conduct as, "completely unacceptable."
Alison Smith told BBC News that she will speak to the police tomorrow about allegations she is making about the peer's behaviour.
Ms Smith said the decided to "blow the whistle" because the peer had started to become involved again in a training event.
"We were told he was not going to make a comeback, now here he is, turning up all over the place," she added.
Liberal Democrat leader Nick Clegg admitted for the first time today that allegations of inappropriate behaviour did play a part in Lord Rennard's resignation.
Mr Clegg said the claims - which Lord Rennard strongly denies - were "in the background".
It comes on the eve of the crucial It comes on the eve of a crucial by-election in Eastleigh, the parliamentary seat vacated by Chris Huhne.
Lord Rennard's behaviour was concerning Liberal Democrat staff in 2011, The Spectator Coffee House blog claims.
It alleges staff were left "feeling uncomfortable" by the peer's behaviour following a party when women returned to his home to continue drinking.
The Spectator says Lord Rennard declined to comment on the new allegations.
Speaking on the Lord Rennard allegations, former Liberal Democrat chief whip Paul Burstow has said it is important the women making the allegations are listened to as part of inquiry.
One of Lord Rennard's accusers, Alison Smith, says she complained to Burstow about inappropriate behaviour and to the equalities spokesperson Jo Swinson.
Liberal Democrat leader Nick Clegg has told LBC 97.3 the Lord Rennard allegations were "in the background" when he left the post of party chief executive. He added the immediate reason was his poor health:
Liberal Democrat leader Nick Clegg has said on LBC 97.3 he does not know how many calls have been received by a whistleblower hotline, set up in the wake of the Lord Rennard allegations.
Latest ITV News reports
Nobody thinks Nick is the kind of guy who would defend a 'boy's club', but that does not necessarily mean he has handled the issue well.
One of the women who made allegations against Lord Rennard told ITV News that Lib Dem leader Nick Clegg shifted his position on the matter.