"Pharmacare does not grow on trees", she said.
Kinder Morgan has ceased all non-essential spending on the project until it receives assurances it can proceed without delays, setting a May 31 deadline on getting those guarantees.
Deputy Premier Sarah Hoffman will be attending the conference on Notley's behalf.
The NDP government in B.C. came to power past year - supported by the Green Party - after an election campaign in which it committed to working against the pipeline expansion owing to environmental concerns.
Before he left for the meeting, Horgan said he didn't expect tensions over the pipeline to dominate discussions among the premiers.
Reacting to the lawsuit, Notley said she wasn't surprised and that B.C.is trying to stoke uncertainty in negotiations.
Court documents filed with Alberta's Court of Queen's Bench say B.C.'s Attorney General was bringing the action against Alberta's Attorney General on the "unconstitutionality of the Preserving Canada's Economic Prosperity Act".
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Cheryl Oates, a spokesperson for Ms. Notley, said in an interview that the Alberta leader is focused on doing what she can on Trans Mountain.
In the latest back-and-forth development between BC and Alberta over the Kinder Morgan Pipeline expansion, Alberta is being sued by the BC government after legislation was passed in Alberta last week that would give the province the ability to shut off its oil supply to BC. "It is to ensure we have the protections in place for when the pipeline is turned on ..."
Trudeau said Canada loses $15 billion a year because oil can not be exported anywhere but the United States, adding that the pipeline expansion opens up the option of exporting to Asian markets.
"Nothing's going to change, it's just going to be a different victim in this political game of tennis".
When the B.C. New Democrats challenged the Alberta government move to restrict crude oil exports to this province, they had to fill a gap in the enabling legislation for the threat.
De Bever added that the federal government needs to exercise more leadership on Trans Mountain.
The provincial Ministry of Environment said a flow metre has leaked about 100 litres of crude oil into the ground at the Darfield station. "With 10 days remaining before Kinder Morgan's deadline, my only priority is to make sure the pipeline gets built so I won't be going to the Western Premiers' Conference this week", she tweeted.