After more than two years without a goal, the 27-year-old has now scored five times in 11 appearances.
"For me, it's just brilliant to be playing again," he told BBC WM.
"The manager (Gary Rowett) has been good in indicating he is particularly keen to make it permanent."
He added: "I'm not 100% sure what the ins and outs of this so-called option are.
"But it has been noted that the international break is the time for people to sit down and talk about situations."
Southampton-born Jutkiewicz, who has three times commanded a seven-figure fee in his 10-year professional career - for Everton, Middlesbrough and Burnley - was joining his 10th club when he came to St Andrew's.
Prior to coming to the West Midlands on 31 August, Jutkiewicz had gone more than two years without scoring a goal.
In fact, his last goal, on loan from Middlesbrough to Bolton Wanderers in May 2014, was the one that almost sent Blues down to League One, but for an injury-time Paul Caddis equaliser.
"First year in the Premier League with Burnley, I didn't play many games and almost the whole of last season I spent on the sidelines injured.
"I'm quite a cerebral person in my spare time and you do analyse things when you're sidelined. Maybe sometimes you over-analyse things. But I knew, if I could play regularly, everything would fall into place.
"If you have a right mind, it can only benefit you on the pitch. From my point of view, I just wanted to go and play football and let the rest sort itself out. And the lads have made it very easy for me to fit in.
"I've had a few bumps and bruises, but, for any centre-forwards or centre-half, that's what you get in a physical league like this when you put your body on the line. And I just take it on the chin."

A man walking his dog reported seeing the body in the water at about 09:00 BST, Humberside Police said.
It was recovered from the water as an area near the pier gates was cordoned off by police.
The male body is yet to be identified and the force is appealing for anyone with information to contact them. Withernsea lies about 18 miles east of Hull.
The pier out into the North Sea was demolished more than 100 years, ago, but the gates were left standing on the promenade.

Ann Barnes dealt with an "ill-advised" TV documentary, a probe into her car insurance, and youth commissioners who both had to step away from their role.
But she said she judged her time as PCC as a success.
She said Kent Police was now target-free, provided quality service and put victims at the heart of its work.
"Apart from one or two things I'd rather not have happened, I've really, really had a good time," she said.
Referring to incidents that led to adverse headlines, she said: "You have to accept what life throws at you and deal with it."
Mrs Barnes, who is not standing for re-election, said the Kent force was recognised nationally after latest HMIC reports.
"[Kent Police] genuinely puts victims at the heart of what it does. There are no targets, people don't chase targets. They just look to do a quality service," she said.
On her youth commissioner appointments, Mrs Barnes said: "You can't interview for the unexpected."
Kent's first youth commissioner Paris Brown resigned over comments she had posted on Twitter, and Kerry Boyd had to stop public engagements while reports of a relationship were investigated.
Mrs Barnes said Ms Brown handled things well after making mistakes when younger, and Ms Boyd did a good job and could have continued but turned down an extended contract.
After Ms Boyd left, the youth commissioner was not replaced.
Mrs Barnes said she was most proud of Kent Police's "open and transparent" culture.
And she said a new victim centre was providing "a wraparound service" to victims and witnesses, and she believed it would become a blueprint for delivering victims' services.
Voting for Kent's next PCC will take place on 5 May, with six candidates standing.
Birmingham City's on-loan Burnley striker Lukas Jutkiewicz is happy to make his move to St Andrew's more permanent after rediscovering his goal touch with the Championship club.
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A body was washed up on a beach at Withernsea, East Yorkshire.
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Kent's outgoing high-profile police and crime commissioner (PCC) has said she is proud of her achievements four years after being elected.