・LMOが届かなくてビザの更新申請が間に合わず「一時的に働けない」期間が出来てしまう可能性がある場合は、とりあえずビザが切れる4ヶ月前になったら Bridging Open Work Permit (BOWP)を申請してください。BOWPの申請中は現在のビザと同じステータタスで働けます。BOWPが発行されたらそこから1年は働けるので、その間に元のビザの更新に必要なLMOも届くと思います。
These documents are to be provided for each country other than Canada, in which you have lived for six consecutive months or longer since reaching the age of 18.
You are strongly encouraged to submit your police certificates with your application to the CIO. If you are unable to obtain all the necessary police certificates, you may still send your application to the CIO them. However, we strongly recommend that you take steps to obtain your police certificates now to avoid future delays. You must be ready to submit them when requested by an officer.
http://www.cic.gc.ca/english/pdf/kits/forms/IMM5612E.pdf
Note: Police certificates are generally considered to be valid for one year from date of issue; therefore, depending on the processing time of your application, you may be requested to submit new certificates.
永住権の申請書類が受理された後の審査期間中に、
提出した無犯罪証明書が発行日から3か月を超えたとしても
証明書の有効性については、CIC側が判断することだし。
CICが
Police certificates are generally considered to be valid for one year from date of issue; therefore, depending on the processing time of your application, you may be requested to submit new certificates.
と言っているなら、発行日から1年間は有効とみなしているのでしょう。
Regarding the visa office’s request for a new certified cheque, I don’t believe I mentioned it to you, but we analyzed the situation more closely and determined that the cheque was not that old when it was submitted. So we thought that the visa office was unreasonable not accepting it when they took several months to open the application.