The assets were expected to attract interest from Nigerian companies such as Conoil
They could help ConocoPhillips raise about $2.5 billion and possibly more if they were sold separately, which is the most likely route, according to the sources.
ConocoPhillips could not be reached for immediate comment.
The on-shore assets are already fully functional and are seen as the most valuable part of the operations, while the early-stage Brass project could prove more difficult to value, one of the sources said.
A Nigerian local content act passed in 2010 is likely to complicate any transaction as foreign suitors need to team up with a local indigenous player.
The government passed the law, intended to give local firms priority when assets are being sold and in tenders for new projects, and it is likely to push for local ownership of Conoco's assets.
The state-oil firm, the Nigerian National Petroleum Corporation, is the majority shareholder in Conoco's on-shore and LNG assets and is seen as less likely to be among the interested parties, the sources said.
NNPC told Reuters on Tuesday it was not aware that Conoco was exiting the country.
Nigeria is Africa's largest oil producer, pumping more than 2 million barrels per day. The OPEC member also holds the world's seventh largest gas reserves, which are largely untapped.
Shell's recent disposals of on-shore oil fields in Nigeria have attracted interest from local firms, often through partnerships with established foreign companies.
ConocoPhillips recently completed the spin-off of its refining activities into Phillips 66, a newly created independent U.S. company.