The jack up unit Ensco 80 is expected to arrive at the field's Charlie platform in the Moray Firth over the weekend.
The rig is to be used in the plugging and abandoning of wells and a clean-up of Beatrice's platform complex.
Full decommissioning of the field's facilities could take place between 2024 and 2027.
Production at the field has ceased and it has been proposed to remove the platform complex, two demonstrator wind turbines and cables.
The Ministry of Defence (MoD) had an interest in using the complex as a training facility, but it has decided not to pursue this idea further.
This decision means a decommissioning programme approved by the UK government in 2004 has been updated and widened out to include the removal of the field's platforms and other structures.
Energy company Repsol Sinopec Resources UK set out details last month of the planned decommissioning and uploaded an environmental impact assessment scoping report online.
The field, about 13 miles (22km) off the Caithness coast, forms part of the site of a massive planned offshore wind farm project.
The planned decommissioning project involves the removal of five platform structures and power cables.
Forty three wells in the field are to be "plugged" and abandoned.
Two wind turbines installed to show that the firth is suitable for a large-scale offshore wind farm are also to be removed.
The turbines were installed in two phases with the first in 2006 and the second in 2007.

5 February 2015 Last updated at 07:28 GMT
There are over 200 sculptures, the biggest of which is a Star Wars themed spectacle, which organisers say was created using 850 truck loads of snow and ice!
They expect more than two million people to visit the festival, which runs from now until 11 February.
Watch the clip to see some of the sculptures from yourself...

Ball, who featured against Pakistan A in Dubai, has taken six wickets in each of Notts' first two games and is the leading wicket-taker in Division One of the County Championship so far in 2016.
Read said of the 25-year-old: "Last winter he got fitter and stronger.
"Now he's genuinely lively and he does plenty with the new ball."
Read said Ball's assured early showings have demanded he lead Notts' bowling attack with the new ball alongside England's Stuart Broad.
"Jake is in fantastic form with the ball," continued Read. "He's had a great winter having been in Dubai with the Lions and has had a taste of what life is like with the ECB set-up. He's really keen to progress that side of his career."
Notts director of cricket Mick Newell said Ball, who was their second-highest County Championship wicket taker with 39 last season, said he has been "terrific" so far in 2016.
"That's a fantastic start to the season and he's setting a great example," added Newell.
Despite Ball's efforts against Lancashire, Notts suffered an eight-wicket defeat in their second Country Championship match of the season on Wednesday, having beaten Surrey in their opening fixture.

A total of 1,400 tickets have sold out for the opening weekend at Bramall Hall in Stockport, Greater Manchester after renovation work began in 2014.
Stained glass windows and ceilings have been restored, while the public will be able to visit the dining room and butler's pantry for the first time.
Councillor Kate Butler, from Stockport Council, called it the "jewel in the crown" of the town's heritage.
The manor dates back to the reign of William the Conqueror when he bestowed the lands upon one of his followers, Hamon de Masci, who became the first Baron of Dunham Massey.
Since then the estate has been under the ownership of just three families: the Davenports, De Bromales and Nevills.
In 1936, the timber-framed hall and its surrounding parkland was handed over to the local council.
The transformation followed a £1.6m grant from the Heritage Lottery Fund and £400,000 in council funding.
A rig to be used in the decommissioning of the Beatrice oil field has left Invergordon on the Cromarty Firth.
[NEXT_CONCEPT]
A huge ice and snow sculpture festival has kicked off in Japan.
[NEXT_CONCEPT]
Pace bowler Jake Ball has made a "lively" return following a winter playing for England Lions, says Nottinghamshire captain Chris Read.
[NEXT_CONCEPT]
A Tudor manor house has reopened following a £2.2m makeover.