The Ilkley area can expect gusts of up to 61mph tomorrow (Friday), according to the Met Office.
A Yellow Wind warning is in place between 5am and 11am as Storm Lilian will bring strong winds, which may lead to disruption to travel and infrastructure.
A Met Office spokesperson said: "Strong winds may cause some disruption. Delays for high-sided vehicles on exposed routes and bridges likely, and some short term loss of power and other services is possible.
"Some bus and train services may be affected, with some journeys taking longer."
Northern Powergrid say its team are on storm response alert, prepared to support customers if they are impacted by Storm Lilian: "Our electricity network is operating as normal, however, we wanted to reassure you that we are closely monitoring the weather and our teams are ready and prepared to respond if this weather has any impact.
"If you experience a power cut, the easiest way to report it and access the latest information is via our website www.northernpowergrid.com/power-cuts-map, alternatively, our teams are available 24/7 by calling 105.
"You can also find some useful hints and tips on our website at www.northernpowergrid.com/what-to-do-in-a-power-cut"