He said: "The winds will be a touch down on what we saw with Ciara but the focus is on a bit more rain with Storm Dennis due to the persistence of the rain".
Last weekend teams of engineers worked to remove fallen trees and other debris from the railway.
The Met Office has heightened weather warnings across the United Kingdom due to the risk of flooding posed by Storm Dennis.
Adam Goymour, company director, said anyone who had pre-booked tickets would be offered a refund or an opportunity to swap the day of their visit.
Coastal flooding will also be an issue, s Storm Dennis generates huge swells, particularly around western and southwestern coasts during high tides. With Storm Dennis bringing further heavy and persistent rain over the weekend, there is a risk of significant impacts from flooding, including damage to property and a danger to life from fast flowing floodwater.
A weather advisory has been issued which states that "Storm Dennis will bring some very wet and very windy weather over the weekend and into Monday".
The fourth named storm of the 2019-2020 season will hit the country from Saturday morning, bringing strong winds and heavy rain.
On Sunday winds are expected to reach storm force along the west coast, with very heavy gusts as well.
The Met Office, which has amber rain warnings and yellow wind warnings in place over much of the country, said that due to the already saturated ground, there was an increased risk of flooding and associated damage.
The financial damage caused by the winds of up to 97mph and flood damage to homes, cars and businesses has been estimated by insurance experts at accountancy firm PwC.
The Environment Agency has issued 98 flood warnings and 12 "immediate action" flood alerts across Britain.
Take care out there.
"River and surface water flooding is possible widely across Wales and the north of England from later on Saturday through Sunday and is probable for parts of the Pennines and upland areas of south Wales".