The sale is being partly funded with $330m (£211m) of vendor financing from Reed's own balance sheet, but the Anglo-Dutch media giant is prepared to offer more than this to overcome the current market situation and seal a deal, according to The Daily Telegraph.
Reed has also sought a pre-arranged staple package of $1.26bn (£803m) from a consortium of seven banks, led by UBS, to finance the deal.
The media group placed its RBI unit, which includes magazine titles such as Computer Weekly, Farmers Weekly and New Scientist, up for sale in February of this year.
Second-round bids were made last month, but a date for the next round of bidding is unknown.
The initial sale price was listed at up to £1.25bn but it emerged last week that bidders were intending to reduce their offers to below £1bn, owing to the downturn.
The bidders, which include Bain Capital, TPG and former Reed non-executive director, Strauss Zelnick, are believed to be concerned about possible deterioration in trading at RBI.
Hamburg-based publisher Gruner + Jahr, majority-owned by German media group Bertelsmann, reportedly pulled out of the bidding contest in September.