But procedural manoeuvres in the upper chamber could delay a vote on the proposed suspensions until at least Monday.
That would keep the matter hanging over the Conservative party's weekend convention in Calgary and Prime Minister Stephen Harper's keynote speech on Friday evening.
A lot could happen between now and then as the party caucuses in Ottawa gather to discuss the issues of the day.
The opposition parties say they will also continue hammering away at the prime minister during question period in the House of Commons, to find out more about what he knew about a deal to sweep Sen. Duffy's questionable expense claims under the rug.
A conference of the Canadian Alliance to End Homelessness continues today, with Louise Casey, head of the U.K. government's Troubled Families program, speaking at the gathering.
The UN Populations Fund will launch a report called "Motherhood in Childhood: Facing the challenge of adolescent pregnancy."
International Development Minister Christian Paradis speaks today at the first-ever Canadian Humanitarian Conference.
Families of Canadian Greenpeace activists Paul Ruzycki and Alexandre Paul, who are being detained in Russia, will hold a news conference to plead for their release and provide details on their detention.
Industry Canada and Canada's Venture Capital and Private Equity Association are to release a study on the performance of venture capital backed firms. The study looked at the impact of performance on revenue growth, employment, research and development and overall company survival rates.
And Gov. Gen. David Johnston welcomes four newly-appointed diplomats to Ottawa, as he receives the credentials of ambassadors from Poland, Libya, Burundi and Bulgaria.
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