Applying for Tier 2 without BRP card (Tier 4)

I am now in the UK. I just finished studying at the university and got a job in the UK. My company can provide me a certificate of sponsorship. I am going to apply for the working visa (Tier 2 visa) in January. The problem is that I lost my BRP card (Tier 4 visa) before applying for the Tier 2 visa. Due to this issue, I reported my lost BRP card at the police office and cancelled it on the UKVI site. My question is that ...

How can I switch to Tier 2 visa without applying for the replacement card (Tier 4 visa)? Do I need the BRP card (Tier 4) as a document for applying for Tier 2 visa?