The Abu Dhabi-based carrier already holds almost 30 percent of the shares in Germany’s second-biggest airline.
WirtschaftWoche reported Saturday that the plan would involve buying out small shareholders and delisting Air Berlin PLC from the London Stock Exchange.
Large shareholders including former managers and travel firm TUI would retain a majority.
The magazine cited sources at Air Berlin for its report.
The company, which on Wednesday postponed the release of its annual results until next week, declined to confirm the WirtschaftsWoche report.
Spokesman Mathias Radowksi says Air Berlin is “currently in advanced discussions on options, which, if implemented, would have a substantial effect of the company.”