The phrase "a feeling that further" is not correct and does not convey a clear meaning in written English.
It seems to be an incomplete thought and lacks context to be usable.
Example: "I had a feeling that further investigation was needed to understand the situation."
Alternatives: "a sense that more" or "an impression that additional".
Financial stocks were among the day's biggest risers on relief that the European summit ruled out the need for British banks to recapitalise right away and thanks to a feeling that further damage to the banking system had been averted.
Until recently, there was a feeling that further hormone manipulations beyond androgen deprivation offered little other than transient falls in PSA, and that docetaxel-based chemotherapy should be offered for a majority following the failure of conventional androgen deprivation.
Exercise testing was terminated when the patients achieved a heart rate of 85% or more of the predicted maximal heart rate, a sufficient blood pressure response (such as a systolic blood pressure ≥250 mm Hg), a feeling that further exercise was impossible or significant severe ischaemic changes on an ECG recording.
Empty shop units, major retailers leaving, and a feeling that it has fallen further behind other cities in the UK.
There's a feeling that Google's algorithm is falling further and further behind the very motivated people and companies out there fighting that algorithm.
I constantly have a feeling that I should have come further than I have, based on how old I am.
"There was a feeling that the speaker was going further than his caucus would," a senior House Republican staffer subsequently explained.
However I can't help feeling that further changes are needed for clarity.
It is the third time this month that the owners and players have walked away from each other with a feeling that they could not move any further.
This year there was a feeling that we are a few steps further forward in understanding 'missing heritability' and that we may soon be able to explain this mystery in scientific terms.
Further, nurses expressed a feeling that researchers in general did not recognize their contribution in research, making it more difficult to engage fully in studies.
