DUBAI, July 5 (Reuters) - Oman state energy company OQ is considering selling its drilling unit Abraj Energy Services, sources said, as the Gulf nation seeks to shore up its finances that have been hit by the coronavirus pandemic and last year's oil price plunge.

The potential sale of the midstream firm is part of a broader divestment plan by OQ, three sources familiar with the matter said, declining to be named as the matter is not public.

Deliberations were at an early stage and OQ could decide to make only a partial exit by floating the company on the Omani stock exchange, one of the sources said.

OQ did not immediately respond to a request for comment.

Abraj, which was originally slated in 2015 for a partial divestment via an initial public offering (IPO), also did not respond to a request for comment.

Oman, rated sub-investment grade by all major credit rating agencies, has struggled in recent years to tame widening deficits and faces large debt maturities in the next few years.

Last year it launched a new fiscal plan to wean itself off its dependence on revenues from crude.

Abraj had an adjusted earnings before interest, taxes, depreciation and amortisation (EBITDA) of around $90 million, according to information on OQ's bond prospectus in April, which identified Abraj as a non-core asset.

OQ plans to raise capital by selling equity stakes, IPOs or selling off entire units to investors.

The strategy aims to reduce the group's net debt to EBITDA ratio to less than 3.0 by early 2023, the prospectus said.

State-controlled energy companies in the Gulf have embarked on a flurry of privatisations to extract value from their assets amid an accelerating global shift away from fossil fuels.

Abu Dhabi National Oil Company (ADNOC), which supplies nearly 3% of global oil demand, is planning an IPO of its drilling business and could raise at least $1 billion from the share sale, sources have previously said.

U.S.-based EIG Global Energy Partners in June said a consortium it led closed a deal to buy 49% of Saudi oil producer Aramco's pipelines business for $12.4 billion. (Reporting by Hadeel Al Sayegh; Editing by Edmund Blair)