The Deputy Prime Minister will seek views on the proposal from the Home Affairs Select Committee.
It is thought that the cost of bonds would vary but are likely to be in the region of four figures.
In a speech today proposing the plans, Nick Clegg will say: "The amounts would need to be proportionate - we mustn't penalise legitimate visa applicants who will struggle to get hold of the money."
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The Conservative peer said he was 'shocked' that the law had been vetoed by the Liberal Democrats.