The company, which has a manufacturing facility in Cumbernauld, said its move would ensure Orbex technology and the spaceport remained under UK ownership.
It also said its bid would safeguard products that had received public funding.
Chief operating officer Dr Jack-James Marlow said Skyrora was committed to providing “reliable, independent” access to space.
Skyrora designs and builds rockets to carry small satellites into space.
In May 2020, it carried out the UK’s first complete ground rocket test in 50 years.
The 36ft (11m) tall Skylark-L rocket was tested at Kildermorie Estate, near Alness, in the Highlands.
The rocket performed all the actions of a launch while restrained to the ground to prevent it from taking off.
Orbex has been planning the first launch of its Prime rocket later this year at SaxaVord Spaceport in Shetland, with the prospect of becoming a commercial launch vehicle for satellites.