How to pass parameters to sql script via psql \i command

The psql \i command is able to execute a given SQL script but I need a way to pass parameters to the script. Example: say you have this simple script

select * from :table LIMIT 1;

I've tried

my_db=> \i my-script.sql -v table="core.product"

but got this error

psql:my-script.sql:1: ERROR:  syntax error at or near ":"
LINE 1: select * from :table LIMIT 1;
                      ^
\i: extra argument "-v" ignored
\i: extra argument "table="core.product"" ignored

--- I know that running this on terminal will work, but I'm already inside psql.

psql -v table="core.product" -f my-script.sql