Bombs and missiles will still be exported to Saudi Arabia under a secretive licensing system despite a court ruling that UK arms sales are illegal.
American multinationals Raytheon and Lockheed Martin are bidding for a lucrative Ministry of Defence training contract at Faslane.
The UK government broke the law by selling arms to Saudi Arabia, the Court of Appeal says in a landmark ruling.
Dozens of companies have undergone human rights checks by Scottish Enterprise following concerns over public money being awarded to arms firms through business grants.
Arms firms supplying weapons for the war in Yemen that has killed 70,000 people were handed nearly £3m by the Scottish Government last year.
Investments worth nearly £130m were made in arms firms linked to Yemen's conflict, which has left an estimated 70,000 people dead.
Bombs made by arms multi-national Raytheon has been linked to war crimes in Yemen, but the company did not speak to investigating MPs.
At least 443 children in Yemen have been killed or injured in air strikes over the past year, according to a leading global charity.
At least 122 children and 56 women were among hundreds of casualties when civilian sites were hit during the conflict, a report says.