Get corresponding SRA accessions for very large list of Biosample accesions?

I have ~1000 Biosample accessions in a list and I want to get the SRA accession numbers for each of them without doing it manually. Any easy script to do this sort of thing?

I see searching biostars you can easily do the opposite with Enterez direct:

esearch -db sra -query 'SRR5437876' | elink -target biosample | efetch

but swapping out biosample and sra gives me too much extra data to sift through (see below):

esearch -db biosample -query 'SRR5437876' | elink -target sra | efetch

I just want the SRA number

Thanks!