The recent (and very low profile) announcement by the U.S. Department of Defense of a Foreign Military Sale (FMS) of MK 41 Vertical Launching Systems (VLS) to Saudi Arabia could possibly be an indication of the procurement of Littoral Combat Ships or DDG-51 type (Burke class) Destroyers by the Royal Saudi Navy. Here is Navy Recognition's take on it

On December 12, 2014, the U.S. Department of Defense announced the following contract award:
Lockheed Martin Corp., Mission Systems and Training, Baltimore, Maryland, is being awarded a $235,329,189 firm-fixed-price contract for MK 41 Vertical Launching System (VLS) electronic and mechanical modules and related equipment. The MK 41 VLS provides a missile launching system for CG 47 and DDG 51 class surface combatants, surface combatants of allied navies, and Aegis Ashore requirements for the Missile Defense Agency’s Ground Ballistic Missile Defense Program. This contract includes options which, if exercised, would bring the cumulative value of this contract to $356,794,617. This contract combines purchases for the U.S. Navy (69.5 percent) and the governments of Saudi Arabia (26.3 percent) and Norway (4.2 percent) under the Foreign Military Sales Program

The Royal Saudi Navy currently does not have any surface vessel fitted with MK 41 VLS. The only Saudi vessels fitted with VLS cells are the Al Riyadh class frigates (FL-3000 type based on La Fayette class). But these French built vessels are fitted with a French VLS: The SYLVER launcher by DCNS.

In 2013, DCNS signed a fleet modernization contract for the Royal Saudi Navy including the ERAV contract which covers the maintenance of the 3 Al Riyadh class frigates delivered in the frame of the Sawari 2 programme.

Navy Recognition however learned from reliable sources that the Al Riyadh class frigates are not getting upgraded with MK 41 VLS

One of the application of the Mk 41 VLS is for the Aegis Ashore programme, but Navy Recognition understands no such program is planned in the Kingdom of Saudi Arabia. The only logical explanation left is that Saudi Arabia is in the process of procuring a new class of U.S. made surface combatants.

Reuters and other U.S. media have been reporting since around 2011 that Saudi Arabia was evaluating both Lockheed Martin's LCS and General Dynamics' DDG-51 Destroyers. MK 41 VLS may be fitted on either type of vessel. (Likewise the French press have been reporting for the past few years that France's main shipyard DCNS is negotiating a large contract dubbed "Sawari 3". This contract may answer a different Royal Saudi Navy need however as in addition to 6 FREMM frigates, the contract is reported to involve 6 submarines.)