The LM741 is a terrible choice here – not only is it straight from the 1970s, but most importantly, it's not a rail-to-rail opamp – when you read its datasheet, you'll notice that the voltage swing is some 1.5 to 3 V away the positive and negative supply voltages.
Besides from that, the TI datasheet for the LM741 recommends a dual supply of +- 10 V relative to ground – you're not even giving it half of that.
So, it's no use using a LM741 in a single-supply design where you need the opamp's output to venture reliably below 1V.
Get a better opamp. You're looking for something that has rail-to-rail properties, and a minimum supply voltage below your supply voltage. In fact, 9V is a rather uncommon voltage, and maybe a much lower V_cc,min opamp will make your life easier?
I'd recommend perusing TI.com's product tables. There's so much better stuff that can be had for a couple of cents including shipping (arrow.com).
Also note: potentiometers scratch, ring. You really want a capacitor to stabilize that input voltage if you're planning on turning that thing during usage.