"There is definitely some caution that they don't want to jump back in too fast and see the price fall below $40," Rhidoy Rashid, analyst at London consulting firm Energy Aspects, told The Wall Street Journal.
Many producers "couldn’t deal with that again for another extended period of time."
Scott Sheffield, chief executive of US shale producer Pioneer Natural Resources Co., told the newspaper that his company will look to add up to 10 rigs if oil prices improve to about $50 a barrel.
Energy company Hess Corporation also told analysts last week that its threshold for adding new rigs is close to $60 a barrel.
On Friday oil-field-services firm Baker Hughes Inc. said that the number of rigs drilling for oil in the US fell by 11 to 332 last week, down 79 percent from a peak in October 2014, the newspaper reported.