MySQL LIMIT by variable is not supported in grammar

MySQL allows for CREATE PROCEDURE calls - for example

CREATE PROCEDURE `reproducer`()
BEGIN
    DECLARE `i` INT;
    SET `i`=0;
    SELECT `a` FROM `b` LIMIT i, 1;
END;

However, when I create a procedure like this, it breaks MySQL connector when it's parsing binlogs. The problem is with LIMIT clause containing a variable - having the same with constants works fine.

Note: this is the smallest viable reproducer. I know it can be written in a different manner, but it was created based on something really doing its work.