It said the industrial action has affected the health sector across the country.
Currently, the outbreak does not meet the criteria for declaring a "public health event of worldwide concern".
The resolution of the upper legislative chamber was sequel to a motion sponsored by Oluremi Tinubu, senator representing Lagos central.
It also urged the Minister of Health to ensure alertness to combat disease in whatever cases may rise and get the ebola vaccine ready for an emergency while advising Nigerians who travel to other African countries to ensure utmost level of care to avoid getting infected.
"We must ensure that Nigeria is not taken unawares again".
Contributing, Senate Chief Whip, Sen.
Adeyeye added, "We must remind ourselves that as we speak right now, many health workers in our country are on strike".
A total of 250,000 US dollars has been set aside for outbreak response activities by the Africa CDC, and member countries have been pledging support by contributing health workers.
The prayer was unanimously granted by the senators.
The DRC government early last week declared a new outbreak of Ebola Virus Disease (EVD) in Bikoro, Equateur Province. With varying symptoms ranging from fever to diarrhoea, there was a total of 869 contacts and 20 laboratory-confirmed cases were recorded.
The WHO has a stockpile of 4,300 doses of the vaccine in Geneva; the company also has 300,000 doses of the vaccine stockpiled in the United States.
Since April, the World Health Organization says 39 suspected, probable or confirmed cases of Ebola and 19 deaths have been reported in Congo.
So far, 19 people have died of Ebola in DRC.
The lawmaker said that unless hospitals were prepared properly and equipped with Ebola vaccines, it would be an epidemic Nigeria might be unable to take on.
"The Senate is further anxious that if we do nothing, given our population, we may well be on our way to creating a global situation".