According to the MIDI website, It says this:
The Department is currently receiving an exceptional volume of family sponsorship cases. As a result, it has become impossible to meet the 25-day deadline set out in the Customer Service Statement.
However, be assured that these delays will not affect the timelines for issuing permanent resident visas to sponsored persons. MIDI and IRCC work together to ensure that your file is processed and visas are issued in a timely manner. Arrangements have also been made so that you do not have to worry about the date of issuance of the Québec Selection Certificate. The MIDI is in charge of making the link with the IRCC.
The Department is currently processing applications received up to:
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May 15, 2019 for a spouse, common-law partner or dependent child;
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May 21, 2019 for other family members.
Wait time information is updated regularly.
Source:
https://www.immigration-quebec.gouv.qc.ca/en/immigrate-settle/family-reunification/index.html
I think it will take atleast 2-2.5 months to receive the CSQ nowadays.