"Praying President Carter has a strong recovery as he was coming to hunt with us this morning for the final week of turkey season", Tyler said.
He is hopeful the state will allow him to roll over the unused limit to next season.
In August 2015, Carter announced that doctors had found melanoma in his brain and liver.
In 2017, the 94-year-old former president was treated for dehydration while building houses in Winnipeg, Canada, for Habitat for Humanity.
He received his first radiation treatment at age 90, and four months later, he was - remarkably - cancer free. "I've got thousands of friends and I've had an exciting and adventurous and gratifying existence".More news: Moon shrinking causes quakes
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Carter is the oldest living former president.
Carter's legacy since leaving office has long overshadowed his rocky White House tenure, where he lost after one term amid a hostage crisis.
A devout Christian, Carter regularly teaches Sunday school at Maranatha Baptist Church, drawing hundreds of visitors to Plains for each session.
Carter has faced some serious health concerns in recent years.
Former U.S. President Jimmy Carter sits after delivering a lecture at the House of Lords in London, Britain February 3, 2016.